Length of a tightrope The figure illustrates the apparatus for a tightrope walker. Two poles are set 50 feet apart, but the point of attachment P for the rope is yet to be determined.
(a) Express the length L of the rope as a function of the distance x from P to the ground.
(b) If the total walk is to be 75 feet, determine the distance from P to the ground.
EXERCISE
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