. A man running on a horizontal road at 8 km/h
finds the rain falling vertically. He increases his speed to 12 km/h and finds that the drops make
angle 30° with the vertical. Find the speed and direction of the rain with respect to the road.
Making a diagram with the given data,
The horizontal component of rain is 8 km/h.
And, the vertical component of the rain is relative velocity with respect to man.
The speed of the rain with respect to the road is 4√3 km/hr and the direction is tanm ∝ =2/√3 vertical.