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in Physics by (53.6k points)

A lady walking due east on a road with velocity 10 ms-1 encounters rain falling vertically with a velocity of 30 ms-1. At what angle should she hold her umbrella to protect herself from the rain?

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tan θ = \(\frac {BC}{OB}\)

\(\frac {V_\omega}{V_\tau}\)

\(\frac {10}{30}\)

⇒ tanθ = \(\frac {1}{3}\) 

⇒ θ = 18°16′ with the vertical direction.

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