Question

A man running at a speed of $5kmph$ find, that the rain falls vertically. When he stops running, he finds that the rain is falling at an angle of ${60}^0$ with the horizontal. The velocity of rain with respect to running man is:

• A. $\frac{2}{\sqrt{3}}kmph$
• B. $\frac{5\sqrt{3}}{2}kmph$
• C. $\frac{4\sqrt{3}}{5}kmph$
• D. $5\sqrt{3}kmph$

Answer 1

The correct option is D $5\sqrt{3}kmph$

tan ${30}^0=\frac{V_m}{V_{rm}}$

$V_{rm}=\frac{5}{1/\sqrt{3}}=5\sqrt{3}kmph$