Rain, pouring down at an angle `alpha` with the vertical has a speed of `10ms^(-1)`.`A` girl runs against the rain with a speed of `8ms//^(-1)` and sees that the rain makes an angle `beta` with the vertical, then relation between `alpha` and `beta` is

To a man going with a speed of 5 ms^-1 , rain appears to be falling vertically. If the actual speed of rain is 10 m s^-1 , then what is the angle made by rain with the vertical ?

Rain is falling vertically with a speed of 30 ms^(-1) . A woman rides a bicycle with a speed of 10 ms^(-1) in the North to South direction. What is the direction in which she should hold her umbrella ?

Rain is falling vertically with a speed of 20ms^(-1) ., A person is running in the rain with a velocity of 5 ms^(-1) and a wind is also blowing with a speed of 15 ms^(-1) (both from the west) The angle with the vertical at which the person should hold his umbrella so that he may not get drenched is:

Rain is falling vertically with a speed of 35 ms^(-1) . Winds starts blowing after sometime with the speeds of 12ms^(-1) in east to west direction. At what angles with the vertical should a boy waiting at a bus stop hold his umbrella to protect himself from rain?

Rain is falling vertically with a speed of 10 sqrt 3 ms^(-1) . A woman rides a bicycle with a speed of 10 ms^(-1) in east to west direction. What is the derection in which she shold hold her umbrella to protect from rain ?

Particle "A" is released from a point "P" on a smooth inclined plane inclined at an angle alpha with the horizontal.At the same instant another particle "B" is projected with initial velocity 'u' making an angle beta 'with the horizontal.Both the particles meet again on the inclined plane.the relation between ' alpha and beta is 1) alpha+beta=(pi)/(6) 2) alpha+beta=(pi)/(4) 3) alpha+beta=(pi)/(3) 4) alpha+beta=(pi)/(2)

To a stationary man, rain appears to be falling at his back at an angle 30^@ with the vertical. As he starts moving forward with a speed of 0.5 m s^-1 , he finds that the rain is falling vertically. The speed of rain with respect to the stationary man is.

A particle is thrown with the speed u at an angle alpha with the horizontal. When the particle makes an angle beta the horizontal , its speed will be