A tower stand vertically on the ground. From a point on the ground , it is 15m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower.
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We know that from trigonometric ratios that,
tanθ= Perpendicular
base
tan60 °=√3 = Perpendicular =
Base
height of tower.
distance of point from foot of tower
√3 = height of tower
15
height of tower = 15 √3
Therefore, the calculated height of tower is 15 √3 m.
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