From the top of a lighthouse 75 m high, the angle of depression of a ship is 30°. How far is the ship from the foot of the lighthouse?
A. \(25\sqrt{3}\) m
B. 150 m
C. \(75\sqrt{3}\) m
D. 75 m
A. \(25\sqrt{3}\) m
B. 150 m
C. \(75\sqrt{3}\) m
D. 75 m
Best answer
Answer: C. \(75\sqrt{3}\) m
Answer: (C) \(75\sqrt{3}\) m
\(\tan 30^\circ = \frac{75}{d}\), so \(d = 75\sqrt{3}\) m (about 129.9 m).
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