Thank you for all of your help, but I only just now discovered that the professor changed the problem to include the vertical distance the rope sags after loading and reaching equilibrium. I should be able to figure it out from here. Thanks again! :)
The way I still see it, I still don't have: the force for the F/A = tensile stress, the final length of the rope, and the change in length of the rope. Am I missing something here, or is there some other method we should be going about this?
The change in the length of the material = ((tensile stress)/(young's modulus))(final length of the material).
But the stress = force/area and since I'm not given the force or the angles or enough other geometric values, how can I solve for this?