SATHEE: Quantitative Aptitude Ques 44

Quantitative Aptitude Ques 44

Question: A kite flying at a height of 45 m from the level ground is attached to a string inclined at $ 60{}^\circ $ to the horizontal. The length of the string is

Options:

A) $ \frac{30}{\sqrt{2}}m $

B) $ 30\sqrt{5},m $

C) $ 30\sqrt{3},m $

D) $ 30\sqrt{2},m $

Show Answer

Answer:

Correct Answer: C

Solution:

Let length of string be x m. In $ \Delta ABC, $ $ \sin 60{}^\circ =\frac{AB}{AC}=\frac{45}{x} $

$ \Rightarrow $ $ \frac{\sqrt{3}}{2}=\frac{45}{x} $

$ \Rightarrow $ $ x=\frac{2\times 45}{\sqrt{3}} $

$ \Rightarrow $ $ x=\frac{2\times 45\times \sqrt{3}}{3} $

$ \therefore $ $ x=30\sqrt{3},m $ Hence, length of string is $ 30\sqrt{3},m. $

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Quantitative Aptitude Ques 44

Question: A kite flying at a height of 45 m from the level ground is attached to a string inclined at $ 60{}^\circ $ to the horizontal. The length of the string is

Options:

Answer:

Solution:

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