That depends on what the Monk wants to accomplish.
If just trying to touch the target, he'd have to reach touch AC.
For actually delivering a strike, he'd have to beat the same full AC as anyone else who attempted to strike the same target with a weapon.
Jiggy
RPG Superstar 2015 Top 32, RPG Superstar 2012 Top 32
It's their full AC, unless you're using some sort of ability that specifically says it's a touch attack.