An airplane has an air speed of 112.2 m/s and flies due North, but the wind blows from the Northeast to the So

Question

An airplane has an air speed of 112.2 m/s and flies due North, but the wind blows from the Northeast to the Southwest at 34.5 m/s. What is its actual ground speed?

Answer 1

North velocity = 112.2-sin(45)*34.5=89.9m/s
East velocity = cos(45)*34.5=24.4m/s

Ground speed is sqrt(89.9^2+24.4^2)=93.17m/s