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What is the smallest value the angle can have

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 2.10 × 10^{4} , and our hero's mass is 80.5 .

1) If the angle between the rope and the horizontal is = 11.7, find the tension in the rope.

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

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