Wind is blowing toward south at 8m/s, a runner jogs west at 7 m/s. What is the velocity (speed and direction) of the air relative to the runner?

Answer 1

X = -7 m/s
Y = -8 m/s

tan Ar = -8/-7 = 1.14286
Ar = 48.8o = Reference angle.
A = 48.8 + 180 = 228.8o, CCW

V = -8/sin228.8 = 10.63 m/s[228.8o].