PC name/address resolution?

Scenario..
I have PC Anywhere (ver 9.x) on my office PC and am dialing into a client’s PC (s) with PC Anywhere, on a nearby Trading floor. Sometimes I type in the name of the PC, as it is easier to remember; we have a Win 2000 domain, all TCP/IP, not sure if Active Directory is fully implemented, and in this case I was going from one Win 2000 PC to another.
Question: am I using DNS to resolve the host name to the IP address (in this case with PC Any)? Or am I using WINS or some kind of NetBios?

Any help/clarification would be appreciated…