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 top of the poles are 60° and 30° respectively. Find the height of the poles.

Answer 1

Given that:

∠APB = 60∘,∠CPD = 30∘,AC = 80m

To find:

The height of the pole = AB = CD = ?

Let AB and CD  be the two poles of equal height and P be the point on the road between the poles.

Adding eqn. (i) and eqn. (ii) we get,

Therefore, height of the pole = 20√3​m = 34.64m