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
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A20.0 m
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B21.6 m
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C23.2 m
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D24.0 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