Question

Fill in the Blanks
The minimum height of a mirror so that a man of height $h$ can see his full image in it is ______ .

Answer 1

Let height of the mirror be $h$.

Height of man $=h$.

Then height of man $h=2x+2y$

$\Rightarrow x+y=\frac{h}{2}$.

We know from diagram,

$h^{{}^{\prime }}=x+y$.

$\Rightarrow h^{{}^{\prime }}=\frac{h}{2}$.

So, height of mirror is half of height of man.