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Rain is falling vertically with a velocity of 25 ms-1. A woman rides a bicycle with a speed of 10 ms-1 in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to safe herself from rain?

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a

tan-1(0.4)

b

tan-1(1)

c

tan-1(3)

d

tan-1(2.6)

answer is A.

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Detailed Solution

Here, vr=25 ms-1,vw=10 ms-1 Velocity of rain w.r.t. woman Let vr/w make an angle θ with vertical. tanθ=vwvk=102.5=0.4 She should hold her umbrella at an angle of θ = tan-1(0.4) with the vertical towards south.

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Rain is falling vertically with a velocity of 25 ms-1. A woman rides a bicycle with a speed of 10 ms-1 in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to safe herself from rain?