SATHEE: Quantitative Aptitude Ques 1372

Quantitative Aptitude Ques 1372

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) $ 20\sqrt{3}m $

C) $ 30m $

D) $ 30\sqrt{3}m $

Show Answer

Answer:

Correct Answer: B

Solution:

Let AB be the light house with top A and AB = 20 m. Also, C be the ship. Given, angle of depression of ship from $ A=30{}^\circ $

$ \therefore $ $ \angle BAC=60{}^\circ $ $ [since,L\times AB=90{}^\circ ] $

$ \therefore $ In $ \Delta ABC $ $ \tan 60{}^\circ =\frac{Perpendicular}{Base} $ $ \sqrt{3}=\frac{BC}{AB} $
$ \Rightarrow $ $ \sqrt{3}=\frac{BC}{20} $
$ \Rightarrow $ $ BC=20\sqrt{3}m $

Quantitative Aptitude Ques 1371

Quantitative Aptitude Ques 1373

Quantitative Aptitude Ques 1372

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:

Answer:

Solution:

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