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If your height is h and you want to see ...

If your height is h and you want to see your complete image in a plane mirror, what should be the minimum size of the mirror ?
Strategy : You can see your complete image if light rays from the top of your head and light rays from your feet reach your eyes after reflection.

Text Solution

Verified by Experts

Now,
`Delta APC ~= Delta DPC`
`rArr AC = CD = x`
`Delta DQE ~= DeltaBQE`
`rArr DE = EB = y`
Your height = AC + CD + DE + EB
= 2x + 2y = 2 (x+y)
Mirror's size = PQ
= CD + DE
= x+y
`rArr` Mirror's size `= ("Your height")/(2)`
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