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Image Formation in Plane Mirrors

A man stands ...

Question

A man stands 10 m in front of a large plane mirror. How far must the walk before he is 5 m away from his image?

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Solution

Man should walk 7.5 m towards the mirror.
The reason being, the image formed by a plane mirror is the same distance behind the mirror as it is between the object and the mirror. A distance of 5m between man and his image means that the distance between him and the mirror = $\frac{5}{2}$ = 2.5 m.
Thus, the distance he should walk = 10 - 2.5 = 7.5 m.

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