I just had the same problem with my wife's Buick - may be a similar fix. Take off the grill. The locking mechanism is just off-center and is a metal box. There is a slot in the front of that box that allows access to the latch. I used a (small) flat-headed screwdriver, inserted it into that slot, and gently twisted. The twisting pushed the latch open and allowed the hood to pop. .
Need more information. Is the latch behind the grill broken? Or is it the latch operated from inside the vehicle? If it's the latter you can remove the latch mechanism and pull on the cable using pliers or vise grips.
dodge truck broken hood latch
The latch is broken, not the cable. You can still get to the cable where it is attached to the latch in the foot-well of the car. Grab the cable with a small vice-grip (or similar) and pull. Note that it is very unlikely the cable will break -the latch typically breaks before the cable since the latch is made from plastic and the cable from steel wire.
I have had the same problem with my F-150. I just removed the lock mechanism. It is fairly easy, just 2 bolts. The cable was fine, it is just the locking mechanism is broken and will not stay locked. Try you Ford dealer or a local salvage yard to replace the latch.
To open the hood latch on a 1996 Buick Park Avenue, the car needs to be put up on a hoist or jacked up. Then a long pole is needed to trip the hood latch. The cable can then be repaired for the hood latch before it is closed again.
Remove carefully front grill with thin flat screwdriver to release tabs around it and you will access to the latch and pull cable end mechanism. Open it by pushing down on the hood while releasing the latch mechanism.
I had to do this on my 97 Ford Explorer a month ago or so. It's easy. You should be able to go through the grill from the outside and unscrew the four bolts or so on the hood release mechanism (reassuring huh?) From there, lift the hood and the latch mechanism should come out with the hood. Detach the cable from the latch mechanism(if your cable is fine, you're in great luck) Take the latch to a junkyard and find one that looks similar(same position of bolt holes, and latch) Attach the cable to the new latch, attach the new latch to your car, it might take a while positioning it so it lines up right but I did it myself for only fifteen bucks.(cost of latch at junkyard from a different pickup).
If it is just the inside handle broken off you can pull the cable with a pair of pliers. If it is in the middle, you should be able to reach up from underneath and cut the cable and then pull the inside cable. If the latch end has pulled off, you may be able to trip the latch from underneath, or take the grill out and unbolt the latch.
you can get to the latch through the grill
Use a set of pliers to pull the cable even if the plastic latch is broken...
where your latch is broken at you can use a pair of pliers and pull the exposed cable wire and it should open best thing when u open it replace the cable wire
The cable between the latch and the handle may be broken or needs adjustement to shorten the cable so that the latch will fully release.