Part 2: Surveying

6. Trilateration

The technique of trilateration measures three sides of a triangle in order to locate objects. It is really useful if the object you are trying to survey is a long way from a known point, for example the house, but you can locate it from some other points in the garden.

Note that many sources mix up the terms ‘trilateration’ and ‘triangulation’, a simple way to remember it is:

Trilateration = distances

Triangulation = angles

Trilateration process

1. Choose two fixed, known, points, for example, two corners of a house (A and B).

House and garden with points A and B marked.

Pixabay / Licence

2. The object or feature that you want to locate becomes the third point of a triangle (C), in this case the corner of the path.

House and garden with points A and B marked with the addition of point C.

Pixabay / Licence

3. Measure and record the distances in a straight line between each of the three points.

Lines and measurements added between A to B, B to C, and C to A.

Pixabay / Licence

4. On your paper draw the line between A and B to an appropriate scale.

Drawing the plan, the initial points, A and B added to paper.

Pixabay / Licence

5. Using a set of compasses and a ruler, set the gap between the point of the compass and the pencil to the length of the line A to C (to scale).

A compass lined up against a ruler.

Pixabay / Licence

6. Draw an arc on the paper, sticking the point of the compasses into point A.

A straight line drawn from point A on paper, and then an arc.

7. Reset your compasses to the length (to scale) between points B and C and draw another arc, this time sticking the point of your compasses into point B. Your arcs will cross at the correct location for point C.

Point B is shown at the end of a straight line on drawing, with point C at intersection of two arcs.