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The reflective property of an ellipse is used in lithotripsy. Lithotripsy is a technique for treating kidney stones without surgery. Instead, high-energy shock waves are emitted from one focus of an elliptical shell and reflected painlessly to a patient`s kidney stone located at other focus. The vibration from shatter the stone into pieces small enough to pass through the patient`s urine.
A vertical cross section of tithotripter is in the shape of a semiellipse with the dimensions shown. Approximate the distance from the center along the major axis where the patient`s kidney stone should be located so that the shock waves will target the stone. Round to 2 decimal places. (See Example6
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