From the top of a hill h metres high the angles of depressions of the top and the bottom of a pillar are and respectively. The height (in metres) of the pillar is

Step-by-step solution

Let A B be a hill whose height is h metres and C D be a pillar of height h^ metres. In E D B , = h-h^ E D and in A C B , = h A C = h E D Eliminate E D from Eqs. (i) and (ii), we get aligned & = h-h^ h & h =h-h^ & h^ = h( - ) aligned