Question

rain is falling vertically with a speed of 35 m/s. A woman rides a bicycle with a speed of 12 m/s in east to west direction. What is the direction in which she should hold her umbrella?

Answer 1

If we shift the frame of reference to the woman, we would find that the velocity of water droplets is 35 m/s vertically downwards and 12 m/s horizontally from west to east.

So, the direction she should be holding the umbrella is tan-1(12/35) degrees from the ground in east to west direction. Remember, we are taking the smaller angle here.