Navigation. Two radio transmitters positioned400 mi apart along the shore send

Chapter 7, Problem 46

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Navigation. Two radio transmitters positioned400 mi apart along the shore send simultaneoussignals to a ship that is 250 mi offshore,sailing parallel to the shoreline. The signal fromtransmitter A reaches the ship 300 microsecondsbefore the signal from transmitter B. The signalstravel at a speed of 186,000 miles per second, or0.186 mile per microsecond. Find the equationof the hyperbola with foci A and B on which theship is located. (Hint : For any point on the hyperbola,the absolute value of the difference of itsdistances from the foci is 2a.)

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