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on a certain day ,rain was falling vertcally with a speed of 30m/s .A wind started blowing after some time with a speed of 10m/s in north-south dirction . In which direction dhould a boy waiting at a bus stop hold his umbrella to protect himself from rain?

Khushal , 8 Years ago
Grade 11
anser 1 Answers
Shaswata Biswas

Last Activity: 8 Years ago

Here, veocity of rain, Vr = 30 m/s vertically downwards. Velocity of wind, V= 10 m/s.
Let the resultant make an angle \theta wiith the vertical.
Then, \tan \theta = \frac{V_{w}}{V_{r}} = \frac{10}{30} = \frac{1}{3}
Or, \theta = \tan^{-1}\frac{1}{3}    =   18.43
So, the man shiuld hold his umbrella towards North, at sn angle 18.43.
THANKS

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