Suppose that two microphones 1500 m apart at points A and B detect the sound of a rifle shot. The time difference between the sound detected at point A and the sound detected at point B is 4 sec. If sound travels at approximately 330 m/sec, find an equation of the hyperbola with foci at A and B defining the points where the shooter may be located.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.CR: Review Problem Set
Problem 15CR
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Suppose that two microphones 1500 m apart at points A and B detect the sound of a rifle shot. The time difference between the sound detected at point A and the sound detected at point B is 4 sec. If sound travels at approximately 330 m/sec, find an equation of the hyperbola with foci at A and B defining the points where the shooter may be located.

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