Question

Help!

A man standing in front of a plane mirror finds his image to be at a distance of 6m from himself. The distance of man from the mirror is ​

Answer 1

The distance of man from the mirror is 3 m

Refer to the attachment

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Answer 2

The distance of the man from the mirror is 3m

From the characteristics of image formed in a plane mirror,

• Virtual and erect
• Formed behind the mirror
• Same size as the object
• Laterally inverted
• Distance of the image behind the mirror is the same as the distance of the object from the mirror.

⇒ From the last point,

• Let the distance of the image behind the mirror be x
• Also the distance of the man from the mirror is x

⇒ From the question,

• x+x = 6
• 2x = 6
• x = 6/2
• x = 3 m

Hence, The distance of the man from the mirror is 3m

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