Question

Rain is falling at the speed of 25 under root 3 metre per second vertically the wind blows west to east at a speed of 25 m per second find the velocity of 3 years experience by a person standing on the ground

Answer 1

Correction : Replace "3 years" with "rain" .

Final Answer : 50m/s by making angle of 30° with vertical.

Steps:
1) Resultant velocity of Rain and wind will be observed to man.
We have,
$\vec{v_{rain}} = -25\sqrt{3} j m/s \\ \vec{v_{wind } }= 25 i m/s \\ =>\vec{v_{res}} = \vec{v_{rain}}+\vec{v_{wind } } \\ => \vec{v_{res}} = 25(-\sqrt{3}i + j) \\ => |\vec{v_{res}} | = 25 \sqrt{3+1^2} =50 m/s$

Hence, Speed of Rain as observed by man is 50 m/s.
Angle with vertical,
$\tan(\theta) = \frac{25}{25\sqrt{3}} \\ => \theta = 30\degree$

Answer 2

The and is 50m/s

Steps:

1) Resultant velocity of Rain and wind will be observed to man.

We have,

Hence, Speed of Rain as observed by man is 50 m/s.

Hope it helps u