I've got a fence similar to the one you describe around most of my yard. It works well, but the deer do jump over it, and crawl under it. The deer herd that used to call my yard home had 20+ members, now I only have to chase out the occassinal singleton or pair.

Deer can easily clear a six foot high fence, but normally won't if they can't see what's on the other side.

5 feet? Ha, they can just walk over that. Try at least an eight foot fence, or use a visual barrier of string or wire, that can deter them, or also use a garlic/oil/soap spray around the perimeter. Try everything and anything to keep them away! :)

I'm looking for the horizontal distance. I know they can jump vertically about 7 feet.

Horizontally? Depends on if they are running or not. I've seen them go through and under barb wire fencing that was spaced 1 foot between the wires. They get tangled in it and mess up the wire too. 6 inches off the ground would probably keep them from going under it, but then you may have to worry about groundhogs/raccoons/rabbits/chipmunks/squirrels, etc etc getting in your garden.

I have had great luck with Deerout and a motion detecting sprinkler. I bought a motion detecting floodlight and wired in a 24 volt transformer that went to a standard irrigation valve and then to one or more impact sprinkler heads. You can buy a motion detecting sprinkler on line but they are more expensive and less durable than making one. They also dont have lights. Now the deer dont come in my yard even if its off. Im training them I guess.

Here is a link that might be useful: Deerout

Deer can easilly jump a 8 foot fence. We had a 8 foot page fence around our house in IL and the little darlings cleared it with no trouble at all. They also ran into it one evening. Knocked the fence out of shape. I thought a car had hit the fence till I saw the deer hair caught in the fence. We figured maybe one got hit or spooked and ran into the fence cause he couldn't see.

Deer can jump only as far as they can jump. If they use spaceshoes they can jump as far as 30' vertically. How do you think Santa's reindeer can fly? Come'on peoples get with it.