Triangles And Properties Of Triangle Question 45

Question: 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

Options:

A) $ 150-60\sqrt{3}m $

B) 90 m

C) $ 150-20\sqrt{3}m $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

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