Long distance radio navigation for aircraft and ships utilizes light (186,000 miles per second). Difference in times of arrival of the pulses at the aircraft or ship is constant on the hyperbola having transmitting stations as foci. Suppose that 2 stations, 300 miles apart, are positioned on the rectangular coordinate system at coordinates (-150, 0) and (150, 0), and that ship is traveling on hyperbolic path with coordinates (x, 75).
A) Compute x-coordinate of position of ship if time difference between pulses from transmitting stations is 1000 microseconds.
B) Find distance between ship and station 1 when ship reaches shore
C) Captain of ship wishes to enter the bay located between two stations. Bay is 30 miles from station 1. What must be time difference between pulses?
D) Ship is 60 miles offshore when time difference is part c is got. Determine the position of the ship?