What are the momentum troubles in this 2D collision problem?

[Hafsaaa]

Homework Statement

A 600g billiard ball moving to the right at 2 m/s collides with an 800g ball at rest. After the collision, the 600 g deflected at an angle of 37 degrees above its original direction at a rate of .5 m/. What is the magbnitude and diredction of 800g ball's velocity?

Homework Equations

m₁*v₁+m₂*v₂=m₁*v₁+m₂*v₂

The Attempt at a Solution

I'm not even sure where to start. I'm totally confused on whether and when to use sin, con, and tan in this problem

 

[zorro]

Hi Hafsaaa
The 600g ball is deflected at an angle of 37 degrees above its original direction.
Take the original direction along + x-axis for easier understanding.
Applying conservation of linear momentum, you will find that the 800g ball will gain velocity in some direction.
Resolve the components of velocities of both the balls along x and y directions (in terms of sin and cos) and then try to solve.