I hope this helps a bit
The angle of the ramp isn't used in this problem because you're already given the force required to move the case up the ramp. That angle would have been used to detemine that force.
Fx and Fy are not the same as F vector. Fvector is the force the moving guy is exerting on the case, Fx is the component parallel to the ramp and Fy is the component perpendicular to the ramp.
Let me know if this is unclear in any way.
Make sure you're VERY familiay SOH-CAH-TOA for these type of questions...