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rain pouring down at an angle alpha with the vertical hasaspeed of 10 ms^-1.a girl runs against the rain with a speed 'of 8ms^-1 and sees that rain makes an angle beta with the vertical,then relation between alpha and beta is

rain pouring down at an angle alpha with the vertical hasaspeed of 10 ms^-1.a girl runs against the rain with a speed 'of 8ms^-1 and sees that rain makes an angle beta with the vertical,then relation between alpha and beta is

Grade:11

1 Answers

Avinash Thakur
16 Points
9 years ago
Ans . 9sin β = 5sin ⍺ ….. (acc. to me)
Reason:
Let us say that rain is falling towards -y and -x axis and the girl is running towards +x axis , then
Velocity of rain w.r.t ground , v= ( -10sin  î – 10 cos  ĵ )ms-1     ...(1)
Velocity of Girl w.r.t ground, v= 8 î ms-1
Also, Velocity of Rain w.r.t girl, vrg = [ (-10-8)sin β -10 cos β ] ms-1
 = ( -18sin β -10 cos β) ms-1           ...(2)
Comparing (1) and (2) ,
-18sin β = -10 sin ⍺      [ divide both sides by 2 and the ans. is there ]
 
 
Correct me if I am wrong
 

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