I've attached a problem that has me stumped as to the proper approach, any pointers would be appreciated...
Call the tension in the cable T. You can break T into its vertical component (perpendicular to the x-z coordinate plane) and horizontal component (in the x-z plane). Then the 70-lb force balances the vertical component, and the reaction at A balances the horizontal component.
That should give you something to get started on. Post again in this thread if you're still having trouble.