Question

What should be the minimum height of a plane mirror in order for a person to see his full reflection into it?

Answer 1

The height of the mirror does not depend on the person to see his full image.
If he cannot see his full image in a plane mirror, he can step back to see his full image

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Answer 2

In order to see full-length image, a person requires a plane mirror which is half of his own height. 
This might help you :)