An 8.05 kg mass moving east at 13.7 m/s on a frictionless horizontal surface collides with a 11.3 kg mass that is initially at rest. After the collision, the 8.05 kg mass moves south at 2.85 m/s. The magnitude of the velocity of the 11.3 kg mass after the collision is 9.97 m/s. What is the angle relative to the east?