Question

Rain is falling vertically with a speed of 30 m/s. The wind is blowing with a speed of 10 m/s in the direction from north to south. In what direction should Paul hold his umbrella to protect himself from the rain?

Answer 1

`18°` above north.

Explanation:

The direction of the resultant velocity vector of the rain would be :

`tan^-1(10/30)~~18°`

So, Paul will have to hold the ☔ pointed towards `18°` above north.

Where,
`color(red)(->)` is wind.
`color(blue)(darr` is rain before the wind blew.
`18°` is the angle between the direction of wind and resultant direction of rain.