A television antenna is situated atop a hill. From a point 200 m from the base of the hill, the angle of elevation of the top of the antenna is 80°. The angle of elevation of the antenna from the same point is 75°. How tall is the antenna?

Answer 1

if the hill has height h and the antenna has height a,

h/200 = tan 75°
(h+a)/200 = tan 80°

eliminate h, and then solve for a