Trigonometrymedium · Past Paper

From a lighthouse 100 m high, the angles of depression of two ships are 30° and 60°. If ships are on opposite sides, find distance between them.

A400/√3 m
B200√3 m
C100√3 m
D100 m

✓ Correct Answer: A400/√3 m

d1 = 100/tan 60 = 100/√3. d2 = 100/tan 30 = 100√3. Total = 100/√3 + 100√3 = 400/√3 m.

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