Question

The angle of elevation of the top of a control tower of an airport from a certain distance was 45°.
After moving 120 m away from the first point of observation, in line with the foot of the tower,
the elevation was found to be 30°. Find the height of the tower.
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Answer 1

tan 45 = P/(x+120)

P= (x+120)- 1

tan 30 = P/x

1/root 3 = P/x

x =root 3P - 2

Substitute 2 in 1,

P= 1.732P +120