Question

A spherical balloon of radius 'r' subtends an angle theta at the eye of the observer .if the angle of elevation of its centre is q cut , find the height of the center of the balloon.

Answer 1

according to question radius of balloon is r
Thus

in triangle OAB

tan theta = OA/AB
               = r + h / AB
thus

height of center of balloon
r + h = AB tan theta
r + h = q tan theta