Question

Two poles of equal heights are standing opposite to each other on either side of the road, which is 80m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60º and 30º, respectively. Find the height of the poles and the distances of the point from the poles.

Answer 1

Let AB and CD be two poles of equal height h metre and let P be any point between the poles, such that 

Hence, the height of the pole is 20√3m and the distance of the point from first pole is 20m and that of the second pole is 60m.