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On a rainy day, the rain was falling vertically with a speed of 30 ms-1. If the wind starts flowing with a speed of 10 ms-1 in the direction from north to south, find the direction in which the boy should hold his umbrella in order to protect himself from the rain.

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Best answer

\(tan\,\theta=\frac{v_w}{v_r}=\frac{10}{30}\)

\(tan\,\theta=0.333\)

\(\theta=18^0\)  with the vertical.

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