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In the LORAN (LOng RAnge Navigation) Radio Navigation System, Two AB| A | - | B |

question 33

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In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference AB| A | - | B | , 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 B is located L = 440440 mi due east of station A on a coastline. A ship received the signal from B 12801280 microseconds (µs) before it received the signal from A. Assuming that radio signals travel at a speed of 980980 ft /µs and if the ship is due north of B, how far off the coastline is the ship? Round your answer to the nearest mile.  In the LORAN (LOng RAnge Navigation)  radio navigation system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference  | A | - | B |  , 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 B is located L =  440  mi due east of station A on a coastline. A ship received the signal from B  1280  microseconds (µs)  before it received the signal from A. Assuming that radio signals travel at a speed of  980  ft /µs and if the ship is due north of B, how far off the coastline is the ship? Round your answer to the nearest mile.   A)   287  miles B)   291  miles C)   288  miles D)   289  miles E)   290  miles

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