I have some field points disposed like the diagram below:


In this diagram, I know:

1) Point A UTM coordinates

2) Distance between A and B

3) Distance between B and C

4) AB azimuth

5) BC azimuth

I´d like to know how to calculate point C UTM coordinates, considering that points B and C can be located in any position in the cartesian plane.

The distances are below 100 meters.

  • 6
    Since this is very local, why don't you use simple trigonometry on a plane?
    – AndreJ
    Commented May 10, 2016 at 18:30
  • Because I don´t know how to. Commented May 10, 2016 at 18:43

2 Answers 2


To get the coordinates of the points you can use these equations:

Delta Y = Distance * Cos (Azimuth)
Delta X = Distance * Sin (Azimuth)
New Y = Y + Delta Y
New X = X + Delta X

First you'll have to get the coordinates of B using these equations then go from there to C.

  • 2
    Depending on the orientation of Azimuth, you might have to subtract the Delta value.
    – AndreJ
    Commented May 11, 2016 at 9:48
  • Hasan, I have two Azimuths, which one should I use? Commented May 11, 2016 at 13:51
  • First use the AB Azimuth (azimuth of B from A) to get the coordinates of B then use the BC Azimuth (azimuth of C from B) to get the coordinates of C Commented May 11, 2016 at 14:23

This kind of calculation is often referred to as CoGo (for coordinate geometry).

If you have several of them to do, and you don't wish to do any programming (or a lot of hand calculations) you can use Copan for Windows -- a free tool for CoGo and many other kinds of land survey calculations.

You can enter known coordinates in one place and known bearings (azimuths) and distances to get new point coordinates.

enter image description here

Disclosure: I built much of Copan.

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