LORAN (long distance radio navigation) for aircraft and ships uses synchronized pulses transmitted by widely separated transmitting stations. These pulses travel at the speed of light (186,000 miles per second). The difference in the times of arrival of these pulses at an aircraft or ship is constant on a hyperbola having the transmitting stations as foci. Assume that two stations, 300 miles apart, are positioned on a rectangular coordinate system at (-150, 0) and (150, 0) and that a ship is traveling on a path with coordinates (x, 75) (see figure). Find the x-coordinate of the position of the ship if the time difference between the pulses from the transmitting stations is 600 microseconds (0.0006 second). (Round your answer to one decimal place.) mi 150 - 75-----R- 150 75 150 -75- 150
LORAN (long distance radio navigation) for aircraft and ships uses synchronized pulses transmitted by widely separated transmitting stations. These pulses travel at the speed of light (186,000 miles per second). The difference in the times of arrival of these pulses at an aircraft or ship is constant on a hyperbola having the transmitting stations as foci. Assume that two stations, 300 miles apart, are positioned on a rectangular coordinate system at (-150, 0) and (150, 0) and that a ship is traveling on a path with coordinates (x, 75) (see figure). Find the x-coordinate of the position of the ship if the time difference between the pulses from the transmitting stations is 600 microseconds (0.0006 second). (Round your answer to one decimal place.) mi 150 - 75-----R- 150 75 150 -75- 150
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:LORAN (long distance radio navigation) for aircraft and ships uses synchronized pulses transmitted by widely separated transmitting stations. These pulses travel at the speed of light (186,000 miles
per second). The difference in the times of arrival of these pulses at an aircraft or ship is constant on a hyperbola having the transmitting stations as foci. Assume that two stations, 300 miles apart,
are positioned on a rectangular coordinate system at (-150, 0) and (150, 0) and that a ship is traveling on a path with coordinates (x, 75) (see figure). Find the x-coordinate of the position of the ship
if the time difference between the pulses from the transmitting stations is 600 microseconds (0.0006 second). (Round your answer to one decimal place.)
mi
150
75
-150
75 150
-75+
- 150
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