question_answer

The horizontal distance between two towers is 60 metres and the angular depression of the top of the first tower as seen from the top of the second, is 30o. If the height of the second tower be 150 metres, then the height of the first tower is

A) \[150-60\sqrt{3}\,m\]

B) 90 m

C) \[150-20\sqrt{3}\,m\]

D) None of these

Correct Answer: C

Solution :

\[(150-h)\,\cot {{30}^{o}}=60\] \[h=150-20\sqrt{3}\].