Both boats are due north of the cliff. The angle of depression of boats $A$ and $B$ measured fro

Question

Both boats are due north of the cliff.

The angle of depression of boats $A$ and $B$ measured from the top of the cliff are $62{}^\circ$ and $36{}^\circ$ respectively.

Given that the height of the cliff $PQ$ is $130$ m, find the distance $AB$ between the two boats.

Correct your answer to $3$ significant figures.

Accepted Answer

$AB=110\text{ m}$ (3 s.f.)

Trigonometric Analysis of Non-Right Angled Triangles