Quantitative Aptitude Ques 1082

Question: One flies a kites with a thread 150 m long. If the thread of the kite makes an angle of $ 60{}^\circ $ with the horizontal line, then the height of the kite from the ground (assuming the thread to be in a straight line) is?

Options:

A) 50 m

B) $ 75\sqrt{3},m $

C) $ 25,\sqrt{3},m $

D) 80 m

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] Let h be the height of kite above the ground. In $ \Delta ABC, $ $ \sin 60{}^\circ =\frac{BC}{AB} $

$ \Rightarrow $ $ \frac{\sqrt{3}}{2}=\frac{h}{150} $

$ \Rightarrow $ $ h=\frac{\sqrt{3}\times 150}{2} $

$ \Rightarrow $ $ h=75\sqrt{3},m $