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Show that the minimum size of a plane mi...

Show that the minimum size of a plane mirror required to see the full image of an observer is half the size of that observer.

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The man can view his entire image if the light rays from the top of his head and from his feet reach his eye.
Let AB be the mirror. PQ represents the man of height h and R is the position of his eyes. Light rays from P gets reflected at A and reach his eyes. Light from Q gets reflected at B and reaches his eyes. AM and BN are normals to the mirror AB.
Now, AB=MN=MR+ RN`(PQ)/2=h/2`
Hence the length of the mirror =`h/2=1m`
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