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Solve the all parts of following question:

Question: 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 2.00 x 104 N. Our heroes mass is 70.0kg.

Part A: If the angle is 13.0o, find the tension in the rope. Start with a free-body diagram of the archaeologist.

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

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