The tension in cable AB is 100 lb, and the tension in cable CD is 60 lb. Suppose that you...

The tension in cable AB is 100 lb, and the tension in cable CD is 60 lb. Suppose that you want to replace these two cables by a single cable EF so that the force exerted on the wall at E is equivalent to the two forces exerted by cables AB and CD on the walls at A and C. What is the tension in cable EF, and what arc the coordinates of points E and F?