Trigonometric Equations Question 159

Question: A house subtends a right angle at the window of an opposite house and the angle of elevation of the window from the bottom of the first house is $ 60^{o} $ . If the distance between the two houses be 6 metres, then the height of the first house is

[MNR 1978]

Options:

A) $ 6\sqrt{3}m $

B) $ 8\sqrt{3}m $

C) $ 4\sqrt{3}m $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \frac{12}{h}=\sin 60^{o} $
    $ \Rightarrow $ $ h=8\sqrt{3} $ m.