Loran Two radio transmitters are positioned along the

Chapter , Problem 5.3.55

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Loran Two radio transmitters are positioned along the coast, 250 miles apart. A signal is sent simultaneously from each transmitter. The signal from transmitter is received by a ships LORAN 500 microseconds after the ship receives the signal from . The radio signals travel at 0.186 mile per microsecond. a. Find an equation of a hyperbola, with foci at and , on which the ship is located. b. If the ship is 100 miles east of the y-axis, determine its distance from the coastline (to the nearest mile).10020030040050100 50 100 xT2ShipLandB250 miy

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