Earth Problem Assume the earth is a perfect sphere of radius 4000 miles, and a string is tied tight all the way longitudinally around,...

"Earth Problem" Assume the earth is a perfect sphere of radius 4000 miles, and a string is tied tight all the way longitudinally around, along a "great circle". A cut is made in the string, an additional 2 yards added to it, and then the string is picked up at a single point and pulled up tight above the North Pole. How high does the string rise above the North Pole?