Rain is falling vertically with a speed of 4 ms-1. Wind starts blowing after sometime with a speed of 3 ms-1 in east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella
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a
37° with the vertical towards west
b
53° with the vertical towards east
c
37° with the vertical towards east
d
53° with the vertical towards west
answer is C.
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Detailed Solution
VRM⇀=-4k⏞-3i⏞ (VRM⇀=VR⇀+VW⇀)taking east alongi⏞ north along j⏞and vertically up along k⏞ tan θ =34=370 with the vertical towards east