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In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at and transmit simultaneous signals to a ship or an aircraft located at . The onboard computer converts the time difference in receiving these signals into a distance difference , and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure) . Suppose that station is located due east of station on a coastline. A ship received the signal from microseconds before it received the signal from .
Assuming that radio signals travel at a speed of and if the ship is due north of , how far off the coastline is the ship? Round your answer to the nearest mile.
Voluntary Dimension
An aspect or attribute that is chosen freely or without compulsion, often relating to decisions or actions.
Profit Earning
The net income that a company generates, calculated as revenues minus expenses, taxes, and costs.
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