Trigonometric Equations Question 151

Question: An aeroplane flying horizontally 1 km above the ground is observed at an elevation of 60o and after 10 seconds the elevation is observed to be $ 30^{o} $ . The uniform speed of the aeroplane in $ km/h $ is

[IIT 1965]

Options:

A) 240

B) $ 240\sqrt{3} $

C) $ 60\sqrt{3} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ d=H\cot 30^{o}-H\cot 60^{o}; $ Time taken = 10 second Speed = $ \frac{\cot 30^{o}-\cot 60^{o}}{10}\times 60\times 60=240\sqrt{3} $ .