EAMCET Engineering 2006 Solved Paper

When the man is at rest with respect to the ground, the rain comes to him at an angle 30∘ with the vertical. This is the direction of the velocity of raindrops with respect to the ground.
Here,

→

v

r,g= velocity of the rain with respect to the ground

→

V

m,g= velocity of the man with respect to the groundand

→

v

r,m= velocity of the rain with respect to the man.
We have, ‌‌

→

v

r,g+

→

v

r,m+

→

v

m,g . .. . (i)
Taking horizontal components, Eq. (i) gives
vr,gsin‌30∘=vm,g=10‌km∕h
or
vr,g=‌

10

sin‌30∘

=20‌km∕h