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 $