Go to the start menu. Open up cmd (command prompt) and type in the following.
wmic process list brief | find /i "tomcat"
This would tell you if the tomcat is running or not.
open http://localhost:8080/ in browser, if you get tomcat home page. it means tomcat is running
open your browser,check whether Tomcat homepage is visible by below command.
http://ipaddress:portnumber
also check this