- A40
- B60
- C80
- D20√3
Step-by-Step Solution
From the foot of the hill, 20/d = tan30° gives d = 20√3. Then the hill height is d·tan60° = 20√3 × √3 = 60 metres.
Answer: B) 60
The angle of elevation of the top of a hill from the foot of a 20 m tower is 60°, and the angle of elevation of the top of the tower from the foot of the hill is 30°. The height of the hill, in metres, is:
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