I downloaded Apache Tomcat 6.0.2 And created a new server in Eclipse
I agree to drvdijk.
Go to "Servers" window, then select your Tomcat instance. Double.click here you will see the "overview" window. Here you can click on "Open launch configuration" to see your Tomcat arguments ("Arguments" tab).
Look for the system property "-Dwtp.deploy". This directory is where your Tomcat is looking for installed web applications, i think you don't have ROOT.war application here. Isn't it? :-)
Hope this will help you