A small plane can travel at 200 km/h in still air. If a 50.0 km/h wind is coming from the east, determine the ground velocity of the plane if the pilot keeps the plane pointed [N].

Answer 1

we want <200cosθ,200sinθ> + <-50,0> = <0,v>

200cosθ = 50
cosθ = .25
θ = 75.5°

v = 200sinθ = 200*.968 = 193.6