Two LORAN radio stations A and B are 200 kilometers apart and send a simultaneous radio signal to a ship. The signal from B arrives 0.0002 seconds before the signal from A. If the signal travels 300,000 kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a coordinate system where the origin is the midpoint between the stations, and the stations lie on the x-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 29E
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Two LORAN radio stations A and B are 200 kilometers apart and send a simultaneous radio signal to a ship.
A
The signal from B arrives 0.0002 seconds before the signal from A. If the signal travels 300,000 kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a
coordinate system where the origin is the midpoint between the stations, and the stations lie on the x-axis.
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Transcribed Image Text:Two LORAN radio stations A and B are 200 kilometers apart and send a simultaneous radio signal to a ship. A The signal from B arrives 0.0002 seconds before the signal from A. If the signal travels 300,000 kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a coordinate system where the origin is the midpoint between the stations, and the stations lie on the x-axis. Preview
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