An adventurous archaeologist crosses between two rock

Question

Compute all parts of given problem:

Problem: 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 2.20 x 10⁴ N, and our hero's mass is 88.2kg.

Part I: If the angle between the rope and the horizontal is 12.0^o, find the tension in the rope.

Part II: What is the smallest value the angle can have if the rope is not to break?

I want help to find the smallest value the angle can have if the rope is not to break.