Solve Applied Problems Involving Hyperbolas

Multiple Choice

Solve Applied Problems Involving Hyperbolas
Solve the problem.
-Two LORAN stations are positioned 278 miles apart along a straight shore. A ship records a time difference of 0.00086 seconds between the LORAN signals. (The radio signals travel at 186,000 miles per
Second.) Where will the ship reach shore if it were to follow the hyperbola corresponding to this time
Difference? If the ship is 200 miles offshore, what is the position of the ship?

A) 59 miles from the master station, (161.9, 200)
B) 80 miles from the master station, (200, 161.9)
C) 59 miles from the master station, (200, 161.9)
D) 80 miles from the master station, (161.9, 200)