Trigonometric Equations Question 148
Question: An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is 60o and that of the top of cliff is 30o. If the height of the tower be 60 meters, then the height of the cliff is
[Roorkee 1982]
Options:
A) 30 m
B) $ 60\sqrt{3}m $
C) $ 20\sqrt{3}m $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- $ (60+h)\cot 60^{o}=h\cot 30^{o} $
$ \Rightarrow $ $ h=30m $