- A30(√3 − 1) m
- B30√3 m
- C30(√3 + 1) m
- D10√3 m
Step-by-Step Solution
From the 45° sight, P is 30 m from the building. The top is 30 tan 60° = 30√3 m high, so the mast is 30√3 − 30 = 30(√3 − 1) m ≈ 22 m.
Answer: A) 30(√3 − 1) m
A mast stands on the roof of a 30 m tall hostel. From a point P on the ground, the angles of elevation of the foot and the top of the mast are 45° and 60°. How tall is the mast?
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