The example app has been packaged as a war file and can be downloaded here (Note: make sure your browser doesn't change file extension or append a new one).
The easiest way to run this application is simply to move the war file
to your CATALINA_HOME/webapps directory. Tomcat will automatically
expand and deploy the application for you. You can view it with the
following URL (assuming that you're running tomcat on port 8080
as is the default):
http://localhost:8080/sample
If you just want to browse the contents, you can unpack the war file with the jar command.
jar -xvf sample.war