Two Billiard Balls Undergo a Glancing Collision

Multiple Choice

Two billiard balls undergo a glancing collision.Before the collision the first ball was travelling east at 2.6 m/s and the second ball was travelling west at 1.2 m/s.After the collision the second ball is deflected by +90 degrees travelling north at 1.47 m/s.Working in a coordinate system where +x direction is east and +y direction is north,what is the direction of the first ball after the collision?

A) 46.4º south of east
B) 43.6º south of east
C) 46.4º south of west
D) 43.6º south of west