Question: Three people are trying to hold a ferocious lion still for the veterinarian. The lion, in the center, is wearing a collar with three ropes attached to it and each person has hold of a rope. Charlie is pulling in the direction 62° west of north with a force of 175 new tons and Sam is pulling in the direction 43° east of north with a force of 200 new tons. What is the direction and magnitude of the force that must be exerted by Alice on the third rope to counterbalance Sam and Charlie?