Trigonometrymedium · Past Paper

Two ships are on the same side of a lighthouse. The angles of depression from the 100 m lighthouse are 30° and 45°. Find the distance between ships.

A100(√3-1) m
B100(√3+1) m
C100 m
D50√3 m

✓ Correct Answer: A100(√3-1) m

Distance 1 = 100/tan 45 = 100. Distance 2 = 100/tan 30 = 100√3. Difference = 100(√3-1).

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