Two LORAN radio stations A and B are 110 kilometers apart and send a simultaneous radio signal to a ship. The signal from B arrives 0.0001 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.

Two LORAN radio stations A and B are 110 kilometers apart and send a simultaneous radio signal to a ship. The signal from B arrives 0.0001 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.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 64E: Road Design Roads are often designed with parabolic surfaces to allow rain to drain off. A...

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