如何从另一台服务器上的用户界面（网页）调用一台服务器上的API？

I want to separate my API, which basically queries Azure tables and returns objects representing entries in the Azure table, from the webpage that calls the API on button clicks. Basically, I want the two things to be on separate servers. I don't have any experience doing this, any idea how to approach this? Am I conceptually wrong here somewhere?I want to separate my API, which basically quer