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. The rope will break if the tension in it exceeds 2.55×10^4 N, and our hero's mass is 85.6 kg.
A) If the angle between the rope and the horizontal is θ = 10.5∘, find the tension in the rope.
B) What is the smallest value the angle θ can have if the rope is not to break?