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If rain falls vertically with a velocity. $V_{r}$ and wind blows With a velocity $v_{w}$ from east to west, then a person standing on the roadside should hold the umbrella in the direction
Explanation
Man should hold the umbrella in the direction of the relative velocity of the rain. If $V_{r} \rightarrow$ velocity of rain, $V_{W} \rightarrow$ velocity of wind and $V_{rw} \rightarrow$ relative velocity of rain w.r.t. wind. $\therefore \tan \theta = V_{w}/V_{r}$