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. $
BETA
