A mountaineer weighing 200lb with his equipment traverses a canyon 100ft wide using a rope which stretches to become 120ft long (between the knots anchoring each end of the rope to the canyon walls at equal heights.) (a) When the mountaineer reaches the half-way point across the canyon, what is the tension in the rope? (b) What angle does each end of the rope make with the horizontal? (c) Would the tension in the rope increase or decrease as the mountaineer moves away from the midpoint? Explain.