A 80.00 kg object is hanging from two ropes. One rope (F1) is pulling due West. The second rope (F2) is pulling 80.00 degrees up of East. Calculate the force in the first rope (F1) in Newtons. How would I do this?

Write equations for horizontal and vertical force balance, with the two rope tensions (F1 and F2) as the unknowns.

Then solve the equations. You will need to use the sine and cosine of 80 degrees.