Concept explainers
To find: the distance from the spark plug to kidney stone.
Answer to Problem 55E
The distance of the spark plug from the kidney stone is 229.8 mm.
Explanation of Solution
Given information:
The lengths of the major and minor axes of the ellipse are 280 millimeters and 160 millimeters respectively.
Calculation:
Consider the lithotripter machine using an elliptic reflector. Take canter of the ellipse at the origin and draw coordinate axes, as shown in the figure given below. Mark the foci of the ellipse as
The dimensions of the set up lead to the length of major and minor axes as
It is known that the distance the foci of an ellipse is given by
Substitute the values of
The distance between the foci of an ellipse is equal to
Therefore the distance of the spark plug from the kidney stone is 229.8 mm.
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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