Question

From the top of a building, the angle of elevation of the top of a cell tower is ${60}^o$ and the angle of depression to its foot is ${45}^o$. Determine the height of the tower.

Answer 1

$x+y=$ Tower height

$\tan {45}^o=y$ $7y=7m$

$\frac{x}{7}=\tan {60}^o=\sqrt{3}$

$x=7\sqrt{3}m$

Tower Height $=7+7\sqrt{3}m$