Question

15.03.
JEE MAINS Exam
When a man is standing, rain drops
appears to him falling at 60° from the
horizontal from his front side when he is
travelling at 5 kmph on a horizontal road
they appear to him falling at 30° from the
horizontal from his front side. The actual
speed of the rain is ___(kmph)
​

Answer 1

Answer:

5 kmph

Explanation:

Let speed of the rain be v km/h.

At rest rain makes angle 60 degree with horizontal.

When the man is moving at u=5km/h, rain appears to fall at 30 degree with horizontal.

So angle between velocity of rain and man is 60 degree while the resultant makes angle 30 degree with the velocity of man.

∴tan30= v sin 60/u+v cos 60

Solving actual speed of rain, v=5km/h

Hope it helps!!!