Question

find the direction for an umbrella when rain falls vertically with speed of 20m/s and wind blows from east to west with a speed of 15 m/s

Answer 1

Direction of umbrella

= tan^(-1) × (15/20)

= tan^(-1) × (3/4)

tan^(-1) 3/4 = x

tan x = 3/4

tan x = 0.75

x = 36° 52'

Direction of umbrella is at 36° 52'