The angles of depression of two ships from the top of a light house are 45° and

Question

The angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 100 m apart, the height of the light house is

Options:

A . $$\frac{{50}}{{\sqrt 3 + 1}}m$$

B . $$\frac{{50}}{{\sqrt 3 - 1}}m$$

C . $$50\left( {\sqrt 3 - 1} \right)m$$

D . $$50\left( {\sqrt 3 + 1} \right)m$$

Answer: Option C

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