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Q.

It is raining at a speed of 5 m s-1 at an angle 370 to vertical, towards east. A man is moving to west with a velocity of 5 m s-1. The angle with the vertical at which he has to hold the umbrella to protect himself from rain is 

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a

tan-1(2)  to west

b

tan-1 12 to south

c

tan-1(2) to east

d

tan-1 12 to east

answer is A.

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Detailed Solution

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x=VR sin370=5×35=3 ;

y=VR cos370=5×45=4;

tanθ=x+VMy=3+54=2

⇒θ=tan-12

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