question_answer

The angle of elevation of an object from a point 500 m above a lake is observed to be \[\text{3}0{}^\circ \] and the angle of depression of its reflection in the lake is\[~\text{45}{}^\circ \]. Find the height of the object above the lake.

A) \[\frac{500}{\sqrt{3}}(1+\sqrt{3})m\]

B)        \[500(2+\sqrt{3})m\]

C) \[500(3+\sqrt{3})m\]

D)        \[500(4+\sqrt{3})m\]