question_answer

The horizontal distance between two towers is 60 meters and the angular depression of the top of the first tower as seen from the top of the second. is\[30{}^\circ \]. If the height of the second tower be 150 meters, then the highest 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 :

[c] \[(150-h)cot30{}^\circ =60\] \[\Rightarrow h=150-20\sqrt{3}\]