An antenna stands on a pole on the top of a house. If a woman 70m from the house observes that the angle of elevation of the top and foot of the pole are 63° and 60° respectively, how long is the pole

if h is house height and x is pole length

tan 60 = h/70 = 1.7321
so h = 121.24
tan 63 = ( h + x ) / 70 = 1.9626
so h+x = 137.38
so x = 137.38 - 121.24 = 16.14 meters