SATHEE: Quantitative Aptitude Ques 2390

Quantitative Aptitude Ques 2390

Question: A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, then find the length of her shadow after 4 s.

Options:

A) 8 m

B) 1.6 m

C) 2.8 m

D) 2 m

Show Answer

Answer:

Correct Answer: B

Solution:

Let length of shadow = DE = x m BD = Distance covered by the girl in 4 s $ =1.2\times 4=4.8m $ Also, in $ \Delta ABE $ and $ \Delta CDE $ and $ \angle B=\angle D $

$ \Rightarrow $ $ \angle A=\angle C $ and $ \angle E=\angle E $

$ \therefore $ $ \Delta ABE=\Delta CDE $

$ \therefore $ $ \frac{BE}{DE}=\frac{AB}{CD} $
$ \Rightarrow $ $ \frac{4.8+x}{x}=\frac{3.6}{0.9} $

$ \Rightarrow $ $ 4.8+x=4x $
$ \Rightarrow $ $ x=1.6,m $

Quantitative Aptitude Ques 2389

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