Question

PQ is a post of given height a, and AB is a tower at some distance. If α and β are the angles of elevation of B, the top of the tower, at P and Q respectively. Find the height of the tower and its distance from the post.

Answer 1

Let AB be the tower of height H and PQ is a given post of height a , and are angles of elevation of top of tower from P and Q. Let PA = x. and BC = h.

The corresponding figure is as follows

In ∆QCB,

Again in ∆PAB,

Now

Hence required height is. And distance is