Tension/Angle Physics homework problem. Please help.?

ace

New member
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 2.60×10^4 N, and our hero's mass is 93.6 kg.

What is the smallest value the angle (theta) can have if the rope is not to break?
 
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