I just fixed a similar problem...possible the starter switch on the steering column has moved out of position.
An easy fix...tilt the column down, remove the four bolts/studs that secure it to the car, let it rest on the seat on the steering wheel, and try pulling on the remote rod where it engages the starter switch. If pulling on the remote rod engages the starter, loosen the two bolts holding the switch to the column and slide the assembly back on the column and tighten the bolts.
Might take a few adjustments to get it where it works in all tilt positions, but it's an easy fix if that is your problem.