Question

A man wishes to see his full image in the mirror.The minimum lenght of the mirror required for the same, given that height of the man is H is?

Answer 1

QUESTION:

A man wishes to see his full image in the mirror. The minimum length of the mirror required for the same, given that height of the man is H is?

SOLUTION:

Here $\mathrm{AB} = \mathrm{H}$ is the height of the man, DE is the mirror and $\mathrm{A}_1\mathrm{B}_1$ is image. C is men's eyes.

As $\mathrm{BE} = \mathrm{EC}$ , so BEC is an isosceles triangle, hence $\mathrm{BE}_1 = \mathrm{E}_1\mathrm{C}$ ( $\mathrm{EE}_1$ is altitude and median of BEC) and $\mathrm{DE} = \mathrm{CE}_1 = 1/2\mathrm{H}$

ANSWER:

The height of the mirror must be $\frac{\mathrm{H}}{2}$

The mirror must be arranged in a position opposite to an eye.