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Q.

A man is standing exactly at midway between a wall and a mirror and he wants to see the full height of the wall (behind him) in a plane mirror (in front of him). If the height of wall is H, then the minimum length of mirror should be

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a

H3

b

2H3

c

H4

d

H5

answer is C.

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Detailed Solution

From H=x+x+x=3x

OC=BC= x2  

Here ΔABC,  ΔADE  are similar triangles

BCPE=ACAE

BC=x2, AC=d,AE=2d

x2DE=d2dx2=DE2DE=x

Similarly PQ=x

H=x+x+x=3x

Question Image

x=H3

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