A 150 cm high girl, when stands 15 m away from a street lamp, light coming from the street lamp cast 3m long shadow of the girl on the horizontal ground. Height of the street lamp above the ground is
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a
4.5 m
b
6 m
c
7.5 m
d
9 m
answer is D.
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Detailed Solution
From triangle ADE, tanθ =1.53 From triangle ABC, tanθ =H3+15= H18 Therefore, 1.53= H18 ⇒ H = 9 m