An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The heights of the tower is:

Aptitude Height and Distance Difficulty: Easy
Choose an option
  • A
    20.0 m
  • B
    21.6 m
  • C
    23.2 m
  • D
    24.0 m

Answer

Correct Answer: 21.6 m

Explanation

Given

  • Observer's eye height = 1.6 m.
  • Horizontal distance to tower = 20√3 m.
  • Angle of elevation = 30°.

Compute tower height Htan 30° = (H − 1.6) / (20√3) = 1/√3⇒ H − 1.6 = 20 ⇒ H = 21.6 m

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