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From a point on the ground, 20 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is 60°. What is the height of the tower?

  • A.10√3 m
  • B.20√3 m
  • C.20/√3 m
  • D.40 m

Answer: B

Let h be the height and d be the distance from the foot.

\(\tan(\text{angle}) = \frac{\text{height}}{\text{distance}}\)

\(\tan 60° = \frac{h}{20}\)

\(\sqrt{3} = \frac{h}{20}\)

h = 20√3 meters.

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