Radio towers A and B, 200 kilometers apart, are situated along the coast, with A located due west of B. Simultaneous radio signals are sent from each tower to a ship, with the signal from B received 500 microseconds before the signal from A. Solve, a. Assuming that the radio signals travels 300 meters per micro seconds, determine the equation of the hyperbola on which the ship is located. b. If the ship lies due north of tower B, how far out at sea is it?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 52E
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Radio towers A and B, 200 kilometers apart, are situated along the coast, with A located due west of B. Simultaneous radio signals are sent from each tower to a ship, with the signal from B received 500 microseconds before the signal from A. Solve,

a. Assuming that the radio signals travels 300 meters per micro seconds, determine the equation of the hyperbola on which the ship is located.

b. If the ship lies due north of tower B, how far out at sea is it?

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