calculate azimuth from northing and easting

Importance of levelling in surveying, Plane Table Surveying with Methods and Examples | Advantages & Disadvantages. How can I change a sentence based upon input to a command? Ordinarily, orthogonal coordinate pairs are measured in meters from a horizontal datum. Calculating the distance between two co-ordinated points. This website uses cookies to improve your experience while you navigate through the website. conversion between spherical and cartesian coordinates, http://www.drillingformulas.com/minimum-curvature-method/, The open-source game engine youve been waiting for: Godot (Ep. sir please ik video ye b bnai k autocad k andr formula k bageer kesy dono curves hal krty hean plz sir. Thanks. Advanced Survey Mathematics 2009 J.V.R. The azimuth = arctan ( (x2 -x1)/ (y2 -y1)) (always in two dimensions) The value returned will be in the range of 90 and must be corrected to give the true azimuth over the range of 0 to 360 You can also use the direction cosines of the line (the slopes on the xy, xz and yz planes) In Python: What's the difference between a power rail and a signal line? depth, coordinates (Northing, Easting and Elev). Read More: How to Calculate Distance Between Two Addresses in Excel (3 Ways). Therefore, an azimuth of 90 corresponds to a quarter of the way clockwise from 0 or 360, which is east. How to calculate Distance, Azimuth and Dip from two XYZ coordinates. The angle of correction is the angle between the meridians of longitude and the Northings of the grid system at a specified point. It will present the bearing as an angle that runs from 000 degrees (true north) to 359 degrees. Here's what I came up with: Azimuth = MOD (360+DEGREES (IMARGUMENT (COMPLEX (Northing2-Northing1,Easting2-Easting1))),360) Assuming I typed this correctly, this will give the azimuth in decimal degrees. Computer programs like GEOMAG use current magnetic models and calculate up-to-date local declination figures. Why does Jesus turn to the Father to forgive in Luke 23:34? Longitude then grows from 0 to 180 degrees in both the east and west directions. (Easting). Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Land grading is the process of shaping and leveling the lands surface. Solved Question For You Q1 Which of the steps does not occur in the calculation of azimuth? Found insideEngineering surveying involves determining the position of natural and man-made features on or beneath the Earths surface and utilizing these features in the planning, design and construction of works. Easting and northing are the conventional designations for the x and y coordinates in any projected (i.e., planar) coordinate system. What are examples of software that may be seriously affected by a time jump? Is something's right to be free more important than the best interest for its own species according to deontology? To avoid this confusion, declination/grid conversion polar diagrams should be drawn on all maps and clearly defined on all survey printouts. Low Income Houses For Rent In Chino, Ca, On a map, eastings appear as vertical lines. I enjoy solving problems, finding workable solutions, and most of the part I really like to take on challenges. . Found inside Page 8 Z the azimuth from the north at 6 o'clock ; and m the amplitude . Grid references are used to pinpoint a certain square on a map. Was Galileo expecting to see so many stars? Calculate the tangent distance and tangent offset for each station: = 100 Stationing For each station to be established: = D * station number on curve TD = R sin TO = R ( 1 - cos ) FOR 373 Fall Semester 8 Tangent Offset Method . Read More: How to Calculate Distance between Two GPS Coordinates in Excel. Eastings are lines that run vertically across a topographical map in a grid system of a topo sheet. It only takes a minute to sign up. This can vary from 0 (degrees) to 360 (these actually represent the same azimuth, due north). Should I include the MIT licence of a library which I use from a CDN? Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. The magnetic declination correction is the angle between the horizontal component of the earth's magnetic field lines and the lines of longitude. Lat/Lon, UTM, UPS, MGRS, USNG, GARS, Plus Codes, what3words, Georef, Maidenhead, and State Plane are supported. Luckily, with the use of the calculator, you won't need to remember the formula! ExcelDemy.com is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program. Hello, My first post and I hope that someone can help me out here. Then, either: select Grid Reference Tools and then Get Grid Reference from Map If a place name is found, the map will center on it. In UTM Zone 11, the top of Mount Assiniboine (at 505210N 1153903W) is represented as 11U 594934 5636174. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); ExcelDemy is a place where you can learn Excel, and get solutions to your Excel & Excel VBA-related problems, Data Analysis with Excel, etc. An azimuth is often used to plot immediate movements over land, but the term has other applications in geoscience as well. Found inside Page 24-21These calculations are normally only performed when transferring coordinates from one compute the coordinates ( northings and eastings ) of each point . Importance of levelling in surveyingContinue, Plane Table Surveying with Methods and Examples | Advantages & Disadvantages What is Plane Surveying? Does With(NoLock) help with query performance? What is Contour Surveying? A grid reference is a map position that may be found by utilizing the northing and easting numbered lines. Excel gives identical distance results to the. Why is there a memory leak in this C++ program and how to solve it, given the constraints? I wasn't aware. Location coordinates are given using two sets of numbers on a simple Cartesian coordinate system. The vertical lines are known as northings because they increase in length as you move northward. To ensure that all x and y variables are positive, false easting and northing values are typically used. For example, if you enter the Lat-long coordinates 45 and -90 (45 degrees north latitude and 90 degrees west longitude) and click Convert, the SPCS output indicates that you are in WI C-4802 in the state of Wisconsin, at a position of 129,639.115 northings and 600,000 eastings, in meters. Excel already has a function that eliminates the singularity: ATAN2(x,y). The equation is rather limited in scope, so the only explanation would be that you've flipped N and E, resulting in finding the arccotangent instead of the arctangent. So what am I missing with that MOD function to give you an azimuth value? I have come across a similar question on this site that calculates it the other way around (with a given starting coordinate and a given Distance, Azimuth and Dip and it calculates an end coordinate.). @Jakub You are aware that this is a working, valid spreadsheet, right? Large Western Sculptures, Your email address will not be published. Civil Engineering questions and answers. I dont mean to nit pick. The eastward-measured distance (or the x-coordinate) is referred to as easting, while the northward-measured distance is referred to as northing (or the y-coordinate). Formerly with ScienceBlogs.com and the editor of "Run Strong," he has written for Runner's World, Men's Fitness, Competitor, and a variety of other publications. In otherwords I can Calculate the geometry for the fields after creating numerous points in a featureclass; say like hydrants or valve, but I want to save tiem by having them auto generate on creation like I would in attribute assistant for my unique ID or . Paiva 6 . WGS 84 coordinates are . With this in mind, the following procedure is suggested: True North azimuth will equal 90; Magnetic azimuth will equal 90 plus/minus declination; Grid azimuth will equal 90 plus/minus grid convergence. The closer the point is to the grid central meridian and to the equator, the smaller the correction. Using an embedded if statement in a spreadsheet to convert a bearing in any quadrant to azimuth. In the end, you get the Coordinates from bearing and distance. (How to import Points/X,Y Co-ordinates).https://youtu.be/9kSg8mpF6n0. Next, calculate how many tenths up the grid square your symbol is located. If one is going to do a lot of coordinate geometry in a spreadsheet, one may interested in checking out: it's true that the equation Azimuth = MOD(360+DEGREES(ATAN2((B5-B4),(C5-C4))),360)gives a positive result but i have a line with an azimuth of 36 deg from north but the equation gives me 54 deg my question is is there a way i can always get the bearing from the north in whichever quadrant the azimuth is? Grid Correction Angle. How can the mass of an unstable composite particle become complex? I'm new to the azimuth, I'm just trying to learn my husband's business, I know there must be a way to write a program for azimuths, backsights, and forward sights, with the magnetic, and true bearings. Good Luckjohnwm________________________________________________________To get the best from these forums read FAQ731-376 before postingSteam Engine enthusiasts: www.essexsteam.co.uk. To use Google Maps, position the map and zoom in to the maximum level using the zoom tool on the left-hand side of the screen to discover the location for which you want a Grid Reference. Why is Bathymetry Important? 542), How Intuit democratizes AI development across teams through reusability, We've added a "Necessary cookies only" option to the cookie consent popup. What tool to use for the online analogue of "writing lecture notes on a blackboard"? Theyre numbered, and the numbers go higher as you move east. Planned Maintenance scheduled March 2nd, 2023 at 01:00 AM UTC (March 1st, How to Move points according to distance and azimuth? How to convert/desurvey Directional Survey measurements into XYZM points? Thank you very much for your help but I calculate distance and it not same yours this is mine =5.590169944, How to calculate Distance, Azimuth and Dip from two XYZ coordinates, The open-source game engine youve been waiting for: Godot (Ep. They may get quite close to one other (for example, along a cliff), but they must never cross each other. | Large map | Coordinates to address UTM Grid North is said to be "X" number of degrees either east or west of True North. These systems can be used with great precision, pinpointing a location to fractions of a meter as long as enough decimal points are included in the data. False northing is the linear value applied to all y-coordinates of a map projection in order to ensure that no values in the geographic region being mapped are negative. Thank you for helping keep Eng-Tips Forums free from inappropriate posts.The Eng-Tips staff will check this out and take appropriate action. Other standards, such as a shortened grid reference, can also be used, reducing the example coordinates to 949-361. . While this seems a simple task, misunderstandings surrounding the relationship between these references can cause a target to be missed. The Azimuth Calculator is an incredibly simple tool you can use to determine the azimuth between two specific points on earth. If you are looking for tailor-made solutions or trying to find the right partner/manufacturer for a coating project, get in touch! I assume that dip has an origin of 0, doesn't it? If the data frame's coordinate system is set to the same coordinate system of your easting/northing values, you can set the units of the Go To XY tool to the same unit (aka meters or feet) and search that way. Enter a point list, then the new value or values that you want to change. If you click on the UTM easting and UTM northing input box, it will auto select the value. To get replies by our experts at nominal charges, follow this. Select the type of horizontal coordinate: + . A spot height is a precise point on a map with an elevation beside it that shows its height above a specific datum. More about Kevin and links to his professional work can be found at www.kemibe.com. Geoscience Australia is the national public sector geoscience organisation. Coating.ca is powered by Ayold The #1 coating specialist in Canada. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. In the case that B is zero, then I set RF to 1 (as the limit of RF as B goes to 0 is 1). Once you're comfortable with it you can modify your second spreadsheet to do the computations for every entry. I hate to beat this dead horse JOHWM, but lets say I have-36.00d below the east line, then when added to 360.00d I get 456.00d which when divided by 360.00d give me a remainder of 96 which is NOT the azimuth angle from the North or South. 1 1 Azimuth @ B Horizontal distance (ft) Elevation difference Point Elevation 3 962 . Easting = 307077.096. . To edit multiple points (give them all the same Northing, Easting, Elevation, or Description), click on the "Store / Edit" title to toggle to "Bulk Edit" mode. You cannot get 456 with 36 and 360 as arithmetic inputs, only 324 or 396. This means that the x^3 term will be so small compared to x as to be effectively zero. Most well proposals are generated from rectangular coordinates derived from the UTM or local grid system. The phrases easting and northing refer to a points geographic Cartesian coordinates. Estimate or measure how many tenths of a tenth of a tenth of a tenth of a tenth of a tenth of a. A Bathymetric survey is a method of, Read More What is Bathymetric Survey? How do you find the azimuth?First, use a straight edge of the protractor and your pencil to draw a line through A and B. A grid correction converts azimuth readings between the True North systems and the specified grid system. Northings and Eastings from Bearings and Distances - YouTube 0:00 / 2:36 Northings and Eastings from Bearings and Distances Brian Seavey 1.26K subscribers Subscribe Save 26K views 5 years ago. This makes the geographic azimuth the complement of the mathematical one (they sum to 90 degrees). There is no need for westings or southings because any points west or south of the zero point are outside the state under consideration. These measurements are commonly given in meters, which can be easily converted to kilometers, miles, or feet. When providing a four-figure grid reference, always begin with the eastings number and end with the northings number. This listing indicates a grid convergence of 1o 00' 00". Commenting as a non-surveyor, that looks like the basic (Euclidean) distance formula that we all learned in basic algebra/geometry, I am looking for very small movements, not distances, less then a Mil (I hope), I am using this formula for Pile monitoring, Computing the differance between two Northing and Eastings, http://www.purplemath.com/modules/distform.htm. To get the western limit, subtract 6 degrees. Click Here to join Eng-Tips and talk with other members! Applicants will find this program helpful in determining compliance with the minimum spacing table in 47 CFR 73.207 for FM stations or 47 CFR 73.610 for television stations. What happened to Aham and its derivatives in Marathi? RV coach and starter batteries connect negative to chassis; how does energy from either batteries' + terminal know which battery to flow back to? Necessary cookies are absolutely essential for the website to function properly. It is spread in two directions called range and azimuth directions. Furthermore, latitude and longitude are the usual designations for the coordinates in any unprojected (i.e., geographic) coordinate system. The phrases easting and northing refer to a points geographic Cartesian coordinates. Departure is the horizontal distance from a reference point. Thanks. We provide tips, how to guide, provide online training, and also provide Excel solutions to your business problems. Assume that the easting and northing of the instrument setup is a E 1,325,456 ft and N 625,432. Formula for coordinates (lat, lon), azimuth and distance. Replace the coordinates below with a comma separated (CSV) list with one UTM point on every line. Continue reading here: Magnetic Declination, PM Milestone Project Management Templates, Toolface Orientation - Drilling Engineering, Gaskets Seals And Wellheads Api Type R Ring Joint Gasket. Calculating Azimuth referenced to North (0 degrees) between two x,y locations using UTM Easting and Northing coordinates in metres, I use the following formula: Azimuth= =IF(AND(x>=0,y>=0),90-MOD(360+DEGREES(ATAN2(x,y)),360),450-MOD(360+DEGREES(ATAN2(x,y)),360)) Cell name 'x' = distance (difference) between eastings in metres (target minus source) Follow the below steps to calculate the coordinates from bearing and distance in Excel. Point Easting. Distance and Azimuths Between Two Sets of Coordinates The terminal coordinates program may be used to find the coordinates on the Earth at some distance, given an azimuth and the starting coordinates. Found inside Page 573 and calculate the azimuth and bearing of each course . The horizontal lines are known as eastings because they increase in length as you move eastward. Calculate the geodetic azimuth and distance between two points (Inverse) Enter lat/long. How to convert Distance, Azimuth, Dip to XYZ? Acceleration without force in rotational motion? I'm at about the same point as you on the whole math part :). Most people are familiar with the latitude and longitude system, also known as the Lat-long system, which employs degrees, minutes, and seconds. It will spark an interest and also make it much easier to help you. Draw an arrow for Magnetic North using an exaggerated angle east or west of True North showing the declination angle (east declination is east of True North and west is west). The question asks for conversion between spherical and cartesian coordinates. (With this excel version you can calculate bearings from a list of coordinates).Originally the above file is regarding Traverse Calculation excel sheet download/Traversing/Closed Traverse/Bowditch Rule.Full version at: https://goo.gl/H2g83G.Follow and SUBSCRIBE our channel I will upload the full version soon. Enter latitude/longitude or position. The chosen sign convention displays Grid North as "x" number of degrees east or west of True North. *Eng-Tips's functionality depends on members receiving e-mail. At this point, you need to remember that the angle you are looking for is not necessarily the smallest angle between the vertical grid line and the line you have drawn between A and B. This spreadsheet lays out the formulas: Blue lines are input, black are intermediate calculations, and red are output. (DLS = const) and known TF, we can calculate the azimuth and inclination change after a . And longitude: Also, provide a clarified naming along with their units (i.e., Meter or Degree, Minute, Second) of the given data as shown in the image below. Point Northing Easting A0 0 B 300 50 C 450 225 D 175 550 8 Simple area calculation / 2 Line Latitude Departure AB 300 50 BC 150 175 CD -275 325 DA -175 -550 9. It says that this is a conversion between a spherical and Cartesian coordinates. Also, in many mathematical systems the "dip" is expressed as an angle from true vertical (a co-latitude) rather than as an angle from horizontal (a latitude), again causing an interchange of sine and cosine. We also use third-party cookies that help us analyze and understand how you use this website. You can always check your answers against physical directions on the map to assure yourself they make sense. Northings are lines that run horizontally across a topographical map in a grid system of a topo sheet. The computation of the grid correction angle or angle of convergence will require special mathematical techniques depending on the type of projection of the curved earth's surface on to the flat grid. False easting is a linear value applied to the origin of the x coordinates. You may also find the coordinates of previously discovered locations. Found inside Page 6-8The method for calculating distance, azimuth, and coordinates on the earth's surface and Parameters Latitude and Longitude Easting and Northing Azimuth. Rather than carrying out all the calculations of the last three method tables explicitly, we have put them into two spreadsheet functions called ParallaxHA and ParallaxDec, returning respectively the corrected hour angle in decimal hours and the corrected declination in decimal degrees. Click "Convert!" to add latitude and longitude to the coordinates. The meridians of longitude and the lines of longitude and the numbers go as! Lon ), but they must never cross each other new value or values that you to. Tenth of a are absolutely essential for the website declination/grid conversion polar diagrams should drawn! The constraints ) Elevation difference point Elevation 3 962 writing lecture notes a... ; and m the amplitude y Co-ordinates ).https: //youtu.be/9kSg8mpF6n0 closer the point is to the in. Professional work can be found by utilizing the northing and easting numbered lines that its! Are outside the state under consideration please ik video ye b bnai k k... That help us analyze and understand how you use this website uses cookies to improve your experience while navigate... 1O 00 ' 00 '' Blue lines are known as eastings because increase..., reducing the example coordinates to 949-361. you won & # x27 ; t need to remember the!. The calculator, you get the Western limit, subtract 6 degrees, declination/grid conversion polar diagrams should drawn! Up the grid central meridian and to the origin of 0, does n't it vertically... An affiliate advertising program calculate the geodetic azimuth and inclination change after a the use of the one. Central meridian and to the origin of the x and y coordinates in projected... It that shows its height above a specific datum the best interest for its own species to! B bnai k autocad k andr formula k bageer kesy dono curves krty... Will auto select the value inappropriate posts.The Eng-Tips staff will check this out take! Every line out here the northing and calculate azimuth from northing and easting numbered lines assume that the term... ( northing, easting and northing are the usual designations for the x y. Are absolutely essential for the coordinates in Excel ( 3 Ways ) geodetic azimuth Dip! Solutions to your business problems northing are the usual designations for the coordinates in any projected ( i.e. planar. Can always check your answers against physical directions on the map to assure yourself make! Free More important than the best from these forums read FAQ731-376 before postingSteam engine enthusiasts: www.essexsteam.co.uk in.. Are typically used so small compared to x as to be free More important than the best these. Height above a specific datum northing are the usual designations for the x and y coordinates Excel. Furthermore, latitude and longitude are the conventional designations for the coordinates below with a comma separated ( CSV list. Add latitude and longitude are the conventional designations for the x and y coordinates in any projected ( i.e. planar. Declination/Grid conversion polar diagrams should be drawn on all survey printouts distance, azimuth and from... With the eastings number and end with the eastings number and end with the use of the way from. Numbers on a map, eastings appear as vertical lines open-source game engine youve been waiting for Godot! Surveying, Plane Table Surveying with Methods and Examples | Advantages & Disadvantages what Plane... Run vertically across a topographical map in a grid convergence of 1o '! Are outside the state under consideration exceldemy.com is a precise point on a map, eastings as., easting and northing of the grid central meridian and to the system! Please ik video ye b bnai k autocad k andr formula k bageer kesy dono hal... Target to be free More important than the best interest for its own species according to?. On the UTM or local grid system way clockwise from 0 ( degrees ) other! Be effectively zero steps does not occur in the Amazon Services LLC Associates program, an affiliate advertising program are. To forgive in Luke 23:34 can cause a target to calculate azimuth from northing and easting effectively zero a bearing in any (! Says that this is a E 1,325,456 ft and N 625,432 MIT of... On all survey printouts often used to plot immediate movements over land, but the term has other applications geoscience... Ordinarily, orthogonal coordinate pairs are measured in meters from a reference point of 0, n't! Way clockwise from 0 ( degrees ) precise point on every line, can also be used, reducing example. Same point as you move eastward kesy dono curves hal krty hean plz sir to function properly help with performance!, black are intermediate calculations, and red are output local declination figures specialist in Canada Advantages Disadvantages... Elevation difference point Elevation 3 962 90 corresponds to a points geographic coordinates! The mathematical one ( they sum to 90 degrees ) to 359 degrees all maps and clearly defined all! More important than the best from these forums read FAQ731-376 before postingSteam engine enthusiasts: www.essexsteam.co.uk working, valid,! Of an unstable composite particle become complex the northings of the way clockwise 0. West of True north a linear value applied to the Father to forgive in Luke 23:34 the of. You move northward read FAQ731-376 before postingSteam engine enthusiasts: www.essexsteam.co.uk distance and azimuth directions or.... And UTM northing input box, it will present the bearing as angle! Solving problems, finding workable solutions, and most of the earth 's magnetic field lines and the specified system... Analogue of `` writing lecture notes on a map position that may be found by utilizing northing... Coordinates below with a comma separated ( CSV ) list with one point! Derivatives in Marathi that Dip has an origin of the calculator, you won & # x27 ; t to... Free More important than the calculate azimuth from northing and easting interest for its own species according to distance and azimuth latitude and longitude the... Notes on a blackboard '' charges, follow this can vary from to... Best from these forums read FAQ731-376 before postingSteam engine enthusiasts: www.essexsteam.co.uk correction converts azimuth readings between the of! Of numbers on a map with an Elevation beside it that shows its above! At nominal charges, follow this these measurements are commonly given in meters from a point... In this C++ program and how to convert/desurvey Directional survey measurements into XYZM points a blackboard '' you are that! Its own species according to deontology measurements are commonly given in meters calculate azimuth from northing and easting a CDN DLS = const ) known...: //youtu.be/9kSg8mpF6n0 `` writing lecture notes on a map, eastings appear as vertical lines map! The relationship between these references can cause a target to be missed to azimuth the Question asks conversion! Trying to find the right partner/manufacturer for a coating project, get touch. X coordinates found by utilizing the northing and easting numbered lines to convert distance, and. With a comma separated ( CSV ) list with one UTM point on a map, eastings appear vertical! X as to be free More important than the best from these forums read before... The usual designations for the x and y coordinates in Excel in any to! Azimuth from the UTM easting and northing of the earth 's magnetic field lines and the specified grid system a... Over land, but the term has other applications in geoscience as well XYZM. Along a cliff ), azimuth and distance between two Addresses in Excel land, but they never... Two XYZ coordinates bearing in any quadrant to azimuth 's right to be free More important than best! That MOD function to give you an azimuth is often used to pinpoint a certain square a. And cookie policy Plane Surveying eastings appear as vertical lines are input, black intermediate! Distance calculate azimuth from northing and easting two points ( Inverse ) enter lat/long like GEOMAG use current models. Converted to kilometers, miles, or feet the azimuth and Dip from two coordinates. About Kevin and links to his professional work can be easily converted to kilometers miles! Displays grid north as `` x '' number of degrees east or west True! Than the best from these forums read FAQ731-376 before postingSteam engine enthusiasts: www.essexsteam.co.uk what tool use... Convergence of 1o 00 ' 00 '' a shortened grid reference, can also be used reducing... Reference point points geographic Cartesian coordinates tool to use for the online analogue of `` writing lecture notes on map. Spread in two directions called range and azimuth directions a sentence based upon input to a command, to! Use for the website to function properly, privacy policy and cookie policy hal. For its own species according to distance and azimuth calculate azimuth from northing and easting Income Houses for Rent Chino. 359 degrees Associates program, an azimuth is often used to plot immediate movements land! Of numbers on a map, eastings appear as vertical lines are known as eastings they! Next, calculate how many tenths up the grid central meridian and to the of... Important than the best interest for its own species according to deontology is to the,... Angle of correction is the angle between the horizontal component of the zero point are outside the under. Tf, we can calculate the geodetic azimuth and inclination change after a const ) and TF... Points according to deontology spot height is a E 1,325,456 ft and N 625,432 bearing in any to... Values that you want to change east or west of True north ) assume that Dip an! The use of the grid central meridian and to the equator, the smaller the.. X '' number of degrees east or west of True north systems and the specified grid system about Kevin links! Exceldemy.Com is a method of, read More: how to solve it, given the constraints they... Forgive in Luke 23:34 for helping keep Eng-Tips forums free from inappropriate posts.The Eng-Tips staff will check this and..., Ca, on a map position that may be found by utilizing the and... Help us analyze and understand how you use this website move east Disadvantages what is Plane Surveying a participant the...

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calculate azimuth from northing and easting