From a lighthouse the angles of depression of two ships on opposite sides of the

Question

From a lighthouse the angles of depression of two ships on opposite sides of the light house are observed to be 30° and 45°. If the height of the lighthouse is h metres, the distance between the ships is

Options:

A . $$\left( {\sqrt 3 + 1} \right)\,h\,{\text{metres}}$$

B . $$\left( {\sqrt 3 - 1} \right)\,h\,{\text{metres}}$$

C . $$\sqrt 3 \,h\,{\text{metres}}$$

D . $${\text{1 + }}\left( {1 + \frac{1}{{\sqrt 3 }}} \right)\,h\,{\text{metres}}$$

Answer: Option A

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