Rain droplets are falling in vertically downward direction with...

Rain droplets are falling in vertically downward direction with velocity $5 m/s$ . A cyclist is moving in northward direction with velocity $10 m/s$ . The rain droplets will appear to the cyclist to be coming from

Options

A $\tan^{-1} \left(2\right) above south horizon$
B $\tan^{- 1} \left(\dfrac{1}{2}\right)above north horizon$
CVertically downward
D $\tan^{-1} \left(2\right) above north horizon$

Correct answer

B. $\tan^{- 1} \left(\dfrac{1}{2}\right)above north horizon$

Step-by-step solution

Rain droplets are falling in vertically downward direction with velocity 5 m/s . A cyclist is moving in northward

$\text{tan}\theta = \dfrac{{v}_{R}}{{v}_{M}}$
$tan \theta = \dfrac{5}{10}$

\theta = \tan^{- 1} $\left(\dfrac{1}{2}\right)above north horizon.$

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