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Find the minimum height of a mirror requ...

Find the minimum height of a mirror required to see the complete wall behind him.

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From, `Delta A A'M` and `Delta ME E'` we have
`(A' M)/(2d) = (ME')/(d) implies A'M = 2ME'`
Again from, `DE E' M'` and `D M' B' B` we have
`(E' M')/(d) = (M'B')/(2d) implies M' B' = 2 E' M'`
Now, `MM' = A' M - M' B' I' B' B`
`= AB - 2(ME' + E' M')`
`= AB - 2 MM'`
`implies MM' = (1)/(3) AB`
Thus minimum height of the mirror be 1/3 of the will and the person must be in the middle of the mirror of the mirror and the wall.
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