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

Algebra ->  Quadratic-relations-and-conic-sections -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
.
The shortest distance from the kidney to one of the two vertices is  16 - sqrt%2816%5E2-10%5E2%29 = 3.51 cm.


The longest distance from the kidney to one of the two vertices is  16 + sqrt%2816%5E2-10%5E2%29 = 28.49 cm.

All the necessary facts related to ellipses and their focuses is in this lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.