Question

Rain is falling vertically with a speed of $35m{s}^{-1}$. Winds start blowing after some time with a speed of $12m{s}^{-1}$ in an east to west direction. In which direction should a boy wait at a bus stop holding his umbrella?

Answer 1

Speed of rain=$3m/s$

Wind speed=$12m/s$

$\left|\overrightarrow{AD}\right|=\left|\overrightarrow{AB}\right|+\left|\overrightarrow{AC}\right|AD=\sqrt{{\left(35\right)}^2+{12}^2}=\sqrt{1225+44}=37\tan \theta =\frac{35}{12},\theta =71$

Rain is falling at an angle of $71°$ from horizontal.