question_answer

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]

A) \[6\sqrt{3}\,\,m\]

B) \[8\sqrt{3}\,\,m\]

C) \[4\sqrt{3}\,\,m\]

D) None of these

Correct Answer: B

Solution :

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