Question

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

Answer 1

Let and be the two poles of equal height h m. be the points makes an angle of elevation from the top of poles are 60° and 30° respectively.

Let, . And, .

Here we have find height of poles and distance of the points from poles.

We have the corresponding figure as follows.

So we use trigonometric ratios.

In a triangle,

Again in a triangle,

And

Hence the height of pole is m. and distances arem, m respectively.