Question

Two poles of equal height are standing opposite to each other on either side of the road which is 80 m wide. From a point P between them on the road, the angle of elevation of the top of a pole is 60° and the angle of depression from the top of another pole at point P is 30°. Find the heights of the poles and the distances of the point P from the poles.

Answer 1

Let the distance of P from the poles PR = y and PQ = 80 – y

Distance of P from the poles, 

PR = 20 m. 

 QP = 80 – 20 = 60 m