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Two ships are sailing in the sea on either side of the lighthouse. The angles of depression of two ships as observed from the top of the lighthouse

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Two ships are sailing in the sea on either side of the lighthouse. The angles of depression of two ships as observed from the top of the lighthouse are 60° and 45° respectively. If the distance between the ships is \(200(\frac{\sqrt{3}+1}{\sqrt{3}})\) metres, find the height of the lighthouse.

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From the figure AB – height of the light house = h

CD – Distance between the ships

∴ The height of the light house is 200 metres.

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