A ship at sea observes the top of a lighthouse at an angle of elevation of

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

A ship at sea observes the top of a lighthouse at an angle of elevation of 30∘30^\circ. After sailing 200 m200\,\text{m} directly towards the lighthouse, the angle of elevation becomes 60∘60^\circ. The height of the lighthouse is (a) 150 m150\,\text{m} (b) 1003 m100\sqrt{3}\,\text{m} (c) 2003 m\frac{200}{\sqrt{3}}\,\text{m} (d) 503 m50\sqrt{3}\,\text{m}

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