Rain is falling vertically with a speed of $4ms^{-1}$.A man riding a bicycle is travelling at a speed of $3ms^{-1}$ in the north to south direction.In order to protect himself from rain,the man should hold his umbrella at an angle $\theta$ given by

Question

$\begin{array}{1 1}\tan^{-1}\big(\large\frac{3}{4}\big)\normalsize \text{ in the north-west direction}\\\tan^{-1}\big(\large\frac{3}{4}\big)\normalsize\text{ in the south-west direction}\\\tan^{-1}\big(\large\frac{4}{3}\big)\normalsize\text{ in the north-east direction}\\\tan^{-1}\big(\large\frac{4}{3}\big)\normalsize\text{ in the south-east direction}\end{array}$