A 1400 kg mid-size car traveling east at 20.7 m/s collides with a 2120 kg mid-size truck traveling north at 37.4 m/s.

A 1400 kg mid-size car traveling east at 20.7 m/s collides with a 2120 kg mid-size truck traveling north at 37.4 m/s. Assume that the vehicles upon collision lock together in such a way as to prevent them from separating or rotating. Calculate the angle northward from due east (counterclockwise) that the locked cars move toward immediately after the impact.