When a handball strikes a vertical wall, its velocity changes from 25 m/s [S15°E] to 30 m/s [S40°W]. Determine the handball’s change in velocity

I got the change in velocity, but how do you get the angle?

Question

When a handball strikes a vertical wall, its velocity changes from 25 m/s [S15°E] to 30 m/s [S40°W]. Determine the handball’s change in velocity

I got the change in velocity, but how do you get the angle?

anonymous · Answer

@Algebraic!

anonymous · Answer

to get the angle you need to have a vector in I and J components and do arctan ( J/I )

anonymous · Answer

|dw:1349144160923:dw|

anonymous · Answer

find the change in each component..  eg  x: xf -xi =  - 30sin40 - 25sin15

anonymous · Answer

|dw:1349144361871:dw|

@Tyler1992 , I did that and I got 2.3 degrees, but how do i know which direction it's heading. 

I took y component of the resultant and the resultant, did the arcosine and got 2.3 degrees. 
but i do not know the direction of the angle, how do i figure that out?