A girl of height 150 ,cm with her eye level a | vedclass

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(C) Let the girl's eye be at point $O$ at a height of $140 \,cm$ from the ground. The mirror extends from $85 \,cm$ to $160 \,cm$ $(85 + 75 = 160 \,cm

Vedclass · Accepted Answer

$120$

Vedclass · Answer

(C) Let the girl's eye be at point $O$ at a height of $140 \,cm$ from the ground. The mirror extends from $85 \,cm$ to $160 \,cm$ $(85 + 75 = 160 \,cm)$ above the ground.$1$. The girl can see the portion of her body below her eye level by looking at the lower part of the mirror. The distance from her eye to the lower edge of the mirror is $140 - 85 = 55 \,cm$. By the property of reflection,the lowest point she can see on her body is $55 \,cm$ below the level of the lower edge of the mirror,which is $85 - 55 = 30 \,cm$ from the ground.$2$. The girl can see the portion of her body above her eye level by looking at the upper part of the mirror. The distance from her eye to the top edge of the mirror is $160 - 140 = 20 \,cm$. By the property of reflection,the highest point she can see on her body is $20 \,cm$ above the level of the top edge of the mirror,which is $160 + 20 = 180 \,cm$. However,the girl's height is only $150 \,cm$. Thus,she can see up to the top of her head $(150 \,cm)$.$3$. The total height of the image visible to the girl is the distance from the lowest point she can see $(30 \,cm)$ to the highest point she can see $(150 \,cm)$.Height visible = $150 \,cm - 30 \,cm = 120 \,cm$.Therefore,the correct option is $(c)$.

$A$ girl of height $150 \,cm$ with her eye level at $140 \,cm$ stands in front of a plane mirror of height $75 \,cm$ fixed to a wall. The lower edge of the mirror is at a height of $85 \,cm$ above her feet level. The height of her image the girl can see in the mirror is (in $cm$)

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