plane flies speed of 185km/hr @ 120deg. it changes speed to 32km/hr @165deg due north. Find the direction and course.
Vr = 185km/h[120]+32km/h[165].
X = 185*Cos120 + 32*Cos165 = -123.4 km/h.
Y = 185*sin120 + 32*sin165 = 168.5 km/h.
Tan A = Y/X = 168.5/(-123.4) = -1.36548, A = -53.8o = 126.2 CCW.
Vr = Y/sin(126.2) = 168.5/sin(126.2) = 209km/h[126.2o].