- A80 m
- B60 m
- C40√3 m
- D20 + 20√3 m
Step-by-Step Solution
Depression 30° to the foot: distance = 20 cot 30° = 20√3 m. The tower rises above the building's top by 20√3 × tan 60° = 60 m, so its height is 20 + 60 = 80 m.
Answer: A) 80 m
From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of its foot is 30°. Find the height of the tower.
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