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A man stands $10 m$ in front of a large plane mirror. So, how far must he walk before he is $6 m$ away from his image?

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4 m

3 m

8 m

7 m

answer is D.

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Detailed Solution

A man stands

10 m

in front of a large plane mirror. So the person must walk a distance of

7 m

, before he is

6 m

away from his image.
We know that an image formed by a plane mirror is at the same distance as the object in front of it. So initially, the distance between the man and his image is

20 m

.
When a man is

3 m

from a mirror, the distance between him and his reflection is

6 m

. So, he must therefore move a distance of

10 - 3 = 7 m

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