Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from two ships are 30° and 45°, respectively. If the lighthouse is…
Question and options
Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from two ships are 30° and 45°, respectively. If the lighthouse is 100 m high, the distance between two ships is approximately:
- 173 m
- 200 m
- 273 m
- 300 m
Answer and explanation
Correct answer: C - 273 m
Distances 100*cot30 = 173.2 m and 100*cot45 = 100 m on opposite sides; total about 273 m.
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