Rain is falling vertically with a speed of  $30{\mathrm{ms}}^{-1}$. A woman rides a bicycle with a speed of $12{\mathrm{ms}}^{-1}$ in east to west direction. In which direction she should hold her umbrella?

At an angle of ${\tan }^{-1}\left(\frac{2}{5}\right)$  with the vertical towards the east

At angle of  ${\tan }^{-1}\left(\frac{2}{5}\right)$ with the vertical towards the west

At angle of  ${\tan }^{-1}\left(\frac{5}{2}\right)$ with the vertical towards the east

At angle of  ${\tan }^{-1}\left(\frac{5}{2}\right)$ with the vertical towards the west