The problem with using Tor's hidden services is that the client needs to install Tor and then enter a funky.onion address.
It really depends on what the goal of this obfuscation is. If the goal is to hide the server, then Tor is the best way to do that.
However, taking the question literally, if a false IP address is all that is needed, you would use the Redirect command on a fake apache server. For instance,
Redirect /docs/ http://new.example.com/docs/
You could even have two IP addresses on the same server, but this kind of makes me wonder what you are trying to accomplish.