A man of height 170, cm wants to see his comp | vedclass

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Question

(D) To see the complete image in a plane mirror,the minimum length of the mirror required is half the height of the person. Given height of the man $H

Vedclass · Accepted Answer

Both $(B)$ and $(C)$

Vedclass · Answer

(D) To see the complete image in a plane mirror,the minimum length of the mirror required is half the height of the person. Given height of the man $H = 170\, cm$. Therefore,minimum length of the mirror $= H/2 = 170/2 = 85\, cm$.To see the top of the head,the top edge of the mirror must be at a height equal to the midpoint between the eyes and the top of the head. Distance from eyes to top of head $= 170\, cm - 160\, cm = 10\, cm$. The top edge of the mirror should be at $160\, cm + 10/2\, cm = 165\, cm$ from the ground.To see the feet,the bottom edge of the mirror must be at a height equal to half the distance from the eyes to the feet. Distance from eyes to feet $= 160\, cm$. The bottom edge of the mirror should be at $160\, cm / 2 = 80\, cm$ from the ground.Thus,both statements $(B)$ and $(C)$ are correct.

$A$ 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.

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