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In the LORAN (LOng RAnge Navigation) Radio Navigation System, Two AA

question 138

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In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at AA and BB transmit simultaneous signals to a ship or an aircraft located at PP . 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 BB is located L=480mi\mathrm { L } = 480 \mathrm { mi } due east of station AA on a coastline. A ship received the signal from B1280B 1280 microseconds (μs) ( \mu s ) before it received the signal from AA .
Assuming that radio signals travel at a speed of 1000ft/μs1000 \mathrm { ft } / \mu \mathrm { s } and if the ship is due north of BB , 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  \mathrm { L } = 480 \mathrm { mi }  due east of station  A  on a coastline. A ship received the signal from  B 1280  microseconds  ( \mu s )   before it received the signal from  A . Assuming that radio signals travel at a speed of  1000 \mathrm { ft } / \mu \mathrm { s }  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)  355 miles B)  358 miles C)  357 miles D)  354 miles E)  356 miles

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