A student stands 20√3 m from the foot of a vertical tower. The angle of elevation of the top of the tower is 30°. Find the height of the tower.
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A student stands 20√3 m from the foot of a vertical tower. The angle of elevation of the top of the tower is 30°. Find the height of the tower.

G1 Physics · Accepted Answer

Let the height be h. Here opposite side = h and adjacent side = 20√3 m. Use tan30° = h/(20√3). Since tan30°=1/√3, h=20√3×1/√3=20 m. Therefore the tower is 20 m high.