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=> Velocity of woman = Vc = 10 m/s
=> Velocity of rain = Vr = 30 m/s
=> Relative velocity = Vr -(- Vc)
=30 - (-10) = 30 +10 = 40 m/s
Now..
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So, she should hold her umbrella in south direction at an angle 18.435° with vertical.
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