Trigonometric Equations Question 145

Question: From the top of a light house 60 meters high with its base at the sea level, the angle of depression of a boat is 15o. The distance of the boat from the foot of light house is

[MNR 1988; IIT 1983; MP PET 1994, 2001; UPSEAT 2000]

Options:

A) $ ( \frac{\sqrt{3}-1}{\sqrt{3}+1} ),60m $

B) $ ( \frac{\sqrt{3}+1}{\sqrt{3}-1} ),60m $

C) $ ( \frac{\sqrt{3}+1}{\sqrt{3}-1} ),m $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Required distance = $ 60\cot 15^{o}=60( \frac{\sqrt{3}+1}{\sqrt{3}-1} ) $ .