Trigonometric Equations Question 338

Question: If the angle of elevation of the top of tower at a distance 500 m from its foot is $ 30^{o} $ , then height of the tower is

[Kerala (Engg.) 2002]

Options:

A) $ \frac{1}{\sqrt{3}} $

B) $ \frac{500}{\sqrt{3}} $

C) $ \sqrt{3} $

D) $ \frac{1}{500} $

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Answer:

Correct Answer: B

Solution:

  • Let the height be h,
    $ \therefore \tan 30^{o}=\frac{h}{500} $
    Þ $ h=\frac{500}{\sqrt{3}} $