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Math Help - Automatically calculate camera rotation

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Here's my issue:

My program has just a back wall and floor. The user is able to move the virtual camera around and zoom in and out. I need the floor to appear completely level, where the camera can only see the front of it, no matter what the Y translation coordinate or FOV is. What would the correct way to calculate the camera's Y rotation from the Y translation coord and FOV be?

Currently through experimentation, I was able to form an equation where it calculates rotation based on the Y translation coord, but obviously it does not work when the user zooms in or out (change in FOV).

I am using gluPerspective, and I would not like to change this.

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