Solve Applied Problems Involving Hyperbolas
-Two LORAN Stations Are Positioned $0.00097$

Multiple Choice

Solve Applied Problems Involving Hyperbolas
-Two LORAN stations are positioned 208 miles apart along a straight shore. A ship records a time difference of $0.00097$ 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 150 miles offshore, what is the position of the ship?

A) 14 miles from the master station, $( 274.2,150 )$
B) 90 miles from the master station, $( 150,274.2 )$
C) 14 miles from the master station, $( 150,274.2 )$
D) 90 miles from the master station, $( 274.2,150 )$