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 the other focus. The vibration from the shock waves shatter the stone into pieces small enough to pass through the patient's urine. 20.9 cm (0, 0) 29 cm A vertical cross section of a lithotripter 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. The patient's kidney stone should be approximately cm from the center along the major axis. G

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 58E
Question
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 the other focus. The vibration from the shock waves
shatter the stone into pieces small enough to pass through the patient's urine.
20.9 cm
(0, 0)
29 cm
A vertical cross section of a lithotripter 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.
The patient's kidney stone should be approximately
cm from the center along the major axis.
G
Transcribed Image Text: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 the other focus. The vibration from the shock waves shatter the stone into pieces small enough to pass through the patient's urine. 20.9 cm (0, 0) 29 cm A vertical cross section of a lithotripter 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. The patient's kidney stone should be approximately cm from the center along the major axis. G
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