SOLUTION: A medical procedure called lithotripsy is a noninvasive medical procedure that is used to break up kidney and bladder stones in the body. A machine called a lithotripter uses its t
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Question 1126873: A medical procedure called lithotripsy is a noninvasive medical procedure that is used to break up kidney and bladder stones in the body. A machine called a lithotripter uses its three-dimensional semi-elliptical shape and foci properties of an ellipse to concentrate shock waves generated at one focus on a kidney stone located at the other focus. If the lithotripter has a length (semi-major axis) of 16cm and a radius (semi-minor axis) of 10cm, how far from the vertex should a kidney stone be located for the best result? Answer by ikleyn(52781) (Show Source):
The shortest distance from the kidney to one of the two vertices is 16 - = 3.51 cm.
The longest distance from the kidney to one of the two vertices is 16 + = 28.49 cm.