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Rain is falling vertically. A man walking horizontally holds his umbrella at an angle of 45o with vertical. If the man doubles his velocity, at what angle with vertical should be hold his umbrella? 

a
tan⁡−1(5)
b
tan⁡−1(15)
c
tan⁡−1(12)
d
tan⁡−1(2)

detailed solution

Correct option is D

V→R=V→m+V→Rmtan⁡α=VmVRand tan⁡α1=VmVR=2VmVR=2tan⁡α=2tan⁡45o⇒α1=tan⁡−1(2)

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