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Question

# A man 180 cm high stands in front of a plane mirror. His eyes are at a height of 170 cm from the floor. Then the minimum length of the plane mirror for him to see his full image is

A
90 cm
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B
180 cm
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C
45 cm
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D
360 cm
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Solution

## The correct option is A 90 cm Assume that the eyes of the man lies at point O. △OM1M2 & △OH′F′ are similar triangles ⇒M1M2H′F′ = l2l Or, M1M2 = H′F′2 Therefore minimum length of the mirror should be half of the height of the man ∴ M1M2 = 1802 = 90 cm Hence (a) is correct choice.

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