Applications Of Derivatives Question 23

Question: A ladder is resting with the wall at an angle of $ 30^{o} $ . A man is ascending the ladder at the rate of 3 ft/sec. His rate of approaching the wall is

Options:

A) 3 ft/sec

B) $ \frac{3}{2} $ ft/sec

C) $ \frac{3}{4} $ ft/sec

D) $ \frac{3}{\sqrt{2}} $ ft/sec

Show Answer

Answer:

Correct Answer: B

Solution:

His rate of approaching the wall $ =3\times \cos 60{}^\circ =\frac{3}{2}ft/sec $ .