Question

From the roof of the building 25 meters high, the angle of elevation of the top of the pole is 21°11’ , from the bottom of the building, the angle of elevation is 43°2’, determine the height of the pole .

Answer 1

If we let
d = distance between buildings
h = height of the taller building

h/d = tan 43°2’
(h-25)/d = tan 21°11’

so, eliminate d and then evaluate for h

h cot43°2’ = (h-25) cot21°11’
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