Setting up Tomcat 8 with Nginx is very straight forward.
sudo nano /etc/nginx/sites-enabled/default
Search for the following text with CTRL + W
location /
And add the following line of code after 'try_files $uri $uri/ =404;'
proxy_pass http://127.0.0.1:8080/;
Next, restart Nginx:
sudo service nginx restart
Finally, head over to the appropriate domain and you should then see the Tomcat 8 page.