SATHEE: Quantitative Aptitude Ques 495

Quantitative Aptitude Ques 495

Question: If the angle of elevation of the sun changes from $ 30{}^\circ $ to $ 45{}^\circ , $ then the length of the shadow of a pillar decreases by 20 m. The height of the pillar is

Options:

A) $ 20,(\sqrt{3}-1)m $

B) $ 20,(\sqrt{3}+1)m $

C) $ 10,(\sqrt{3}-1)m $

D) $ 10,(\sqrt{3}+1)m $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{AB}{BC}=\tan 45{}^\circ $

$ \Rightarrow $ $ AB=BC $ Now, $ \frac{AB}{OB}=\tan 30{}^\circ $

$ \Rightarrow $ $ AB=(20+BC)\tan 30{}^\circ $

$ \Rightarrow $ $ AB=(20+AB)\frac{1}{\sqrt{3}} $

$ \Rightarrow $ $ \sqrt{3},AB-AB=20 $

$ \Rightarrow $ $ AB=\frac{20}{\sqrt{3}-1}=\frac{20,(\sqrt{3}+1)}{2} $ $ =10,(\sqrt{3}+1) $

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Quantitative Aptitude Ques 495

Question: If the angle of elevation of the sun changes from $ 30{}^\circ $ to $ 45{}^\circ , $ then the length of the shadow of a pillar decreases by 20 m. The height of the pillar is

Options:

Answer:

Solution:

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