question_answer

The angle of elevation of the top of an incomplete tower at a point 40 m from its base is\[\text{45}{}^\circ \]. If the elevation of the completed tower at the same point is\[\text{6}0{}^\circ \], find the height through which the tower has been raised.

A) \[40\sqrt{3}m\]                               

B) \[40(\sqrt{3}+1)m\]

C) \[40\left( 1-\frac{1}{\sqrt{3}} \right)m\]

D)        \[40(\sqrt{3}-1)m\]