Mirror Height for Self-Reflection at Distance D for H

[Edgar White]

Hello,

I was wondering how to find the minimum height of a mirror so somebody of height H that is at a distance D of the mirror sees himself from head to toes.

Anybody can help me out ? Thanks !

 

[Dmstifik8ion]

Consider that the angle of line of sight from the eye to the mirror and back to the person would be divided between the distance to the mirror and the distance back to the reflected image.

Also note that the angle of reflection changes as the distance changes.