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.
minimum length of the mirror = 80 cm
minimum length of the mirror = 85 cm
bottom of the mirror should be at a height 80 cm or more
bottom of the mirror should be at a height 85 cm
A
minimum length of the mirror = 85 cm
B
minimum length of the mirror = 80 cm
C
bottom of the mirror should be at a height 80 cm or more
D
bottom of the mirror should be at a height 85 cm
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Solution
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from the similar triangles RES and BEC in the above figure:
RSBC=2dd
BC=85cm(minimum length of the mirror)
from the similar triangles SEQ and SEO in the above figure:
EQCO=2dd
CO=80cm (bottom of the mirror should be at a height of 85cm or less)
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