Rain is falling vertically with a speed of `30 m s^(-1)` . A woman rides a bicycle with a speed of ` 12 m s^(-1)` in east to west direction. In which direction should she hold her umbrella ?

Options

A. At an angle of `tan^(-1)((2)/(5))` with the vertical towards the east.
B. At angle of `tan^(-1)((2)/(5))` with the vertical towards the west.
C. At angle of `tan^(-1)((5)/(2))` with the vertical towards the west
D. At angle of `tan^(-1)((5)/(2))` with the vertical towards the west.

Answer

B