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} $