Part 2: Surveying

7. Triangulation

Triangulation also uses triangles, but this time it uses one distance and two angles to work out the location of the object or feature, rather than the three distances used in trilateration. This can be useful if there are obstacles in the way, or the distances are very long for measuring. It is also useful for measuring the height of something, for example how tall a tree is, or how high the height of the house.

Triangulation process:

1. The process starts the same as trilateration; measure and plot points A and B. These can be any two fixed points that you already know the location of, in this case topiary (A) and a statue (B).

Formal garden with two features marked as A and B.

Amber Crowley / public domain

Points A (topiary) and B (statue) drawn

2. Set up a theodolite or dumpy level at point A and look through it to point B, set this as 0 degrees.

A line drawn from point A at zero degrees to point B.

3. Swivel the theodolite or dumpy level until you ae looking at point C (in this example, a tree) and record how many degrees it is.

A line drawn to point C at 40 degrees from that drawn to point B.

4. Move the theodolite or dumpy level to point B and set it up so that when you are looking at point A it reads 0°. Then swing round and measure the degrees from B to C.

A line drawn from point B to point C at 65 degrees from that drawn between points A and B.

5. On your paper draw a line between A and B and then use a protractor to measure the angles of 40° from point A and 65° from point B. Draw lines from point A and B in the correct direction of each angle until the lines cross. Where they cross is point C:

All 3 lins and angles sketched out on plan.