Question

When a plane mirror is placed horizontally on a level ground at a distance of $60$ meters from the foot of a tower the top of the tower and its image in the mirror subtends at the eye, an angle of ${90}^o$. Find the height of the tower.

Answer 1

From the figure it is clear that angle subtended by the top of a tower and the image in the mirror at the eye is ${45}^0$.

So,

$\tan 45=\frac{h}{60}$

$h=60m$

the height of the tower is $60m$