
Answer:
Vp = 120 cos 210 + 120 sin 210 = Vi1 + Vy1 Â Â due East zero coordinates
Vp = -103.9 i - 60 j    vector description of velocity of plane
Vw = 47 j     vector description of wind
V = Vp + Vw = -103.9 i - 13 j
V = (103.9^2 + 13^2)^1/2 = 104.7
Cos θ = -103.9 / 104.7 =  187.1 deg   X-component of final velocity
Sin θ = -13 / 104.7 = 187.13 deg    Y-component of final velocity
(Final velocity = 104.7 m/s     7.1 deg S of W)