Problem #54

Two poles, one with a height of 150 feet the other with a height of 120 feet are 80 feet apart. A rope with a length of 100 feet connects the tops of the two poles. A weight is placed on the rope so that it is free to slide along it. How far above the ground does the weight hang? [Assume that when the rope is pulled taut it makes a straight line (rather than a catenary).]

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