Quantitative Aptitude Ques 690

Question: From the top of a light house at a height 20 m above sea-level, the angle of depression of a ship is $ 30{}^\circ . $ The distance of the ship from the foot of the light house is

Options:

A) $ 20m $

B) $ 30m $

C) $ 20\sqrt{3} $

D) $ 30\sqrt{3} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let AB be the light house with top AB = 20 m In $ \Delta ABC, $ $ \tan 60{}^\circ =\frac{BC}{AB} $
    $ \Rightarrow $ $ \sqrt{3}=\frac{BC}{20} $

$ \Rightarrow $ $ BC=20\sqrt{3}m $

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