Troysp..The TOTAL heat gain is 35,477 btuh
There for you need to remove 35,477 btuh to keep up with the heat gain. Latent and sensible heat have both been included in this total. If you were sizing just based on sensible heat, then it would be undersized because latent heat wasn't taken into consideration.
Latent heat is basically humidity. It takes btu's in order to change the state of a gas to a liquid.