To solve the problem I used:
V(B/S), where B is Basketball relative to S which is the shooter.
Now V(B/S) = sqrt(((V(B/S)_x)^2 )-(V(B/S)_y)^2)
V(B/S)_x = (V(B)_x)-(V(S)_x)
V(B/S)_xy= (V(B)_y)-(V(S)_y)
Given that the angle is 30 degrees:
For V(B/S)_x:
10cos30 - 8cos30 = sqrt(3)
For V(B/S)_y...