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Question

# A man of height 170 cm wants to see his complete image in a plane mirror (while standing). His eyes are at a height of 160 cm from the ground.

A
minimum length of the mirror = 80 cm
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B
minimum length of the mirror = 85 cm
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C
bottom of the mirror should be at a height 80 cm or more
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D
bottom of the mirror should be at a height 85 cm
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Solution

## The correct option is B minimum length of the mirror = 85 cmfrom the similar triangles RES and BEC in the above figure:RSBC=2dd BC=85cm(minimum length of the mirror)from the similar triangles SEQ and SEO in the above figure:EQCO=2dd CO=80cm (bottom of the mirror should be at a height of 85cm or less)

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