Trigonometric Equations Question 130

Question: The angle of elevation of a tower at a point distant d meters from its base is 30°. If the tower is 20 meters high, then the value of d is

[MP PET 1982, 88]

Options:

A) $ 10\sqrt{3}m $

B) $ \frac{20}{\sqrt{3}}m $

C) $ 20\sqrt{3}m $

D) $ 10 $ m

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Answer:

Correct Answer: C

Solution:

  • $ 20\cot 30^{o}=d $
    $ \Rightarrow $ $ d=20\sqrt{3} $ .