An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. 5.42). The rope will break if the tension in it exceeds 2.50 X 104 N, and our hero's mass is 90.0 kg.
(a) If the angle 6 is 10.0°, find the tension in the rope.
(b) What is the smallest value the angle 6 can have if the rope is not to break?