A submarine on the surface of the ocean, is on a course parallel to and 60 Km from the shore line as shown in the figure. There are two transmitters, X and Y located 200 Km from each other on the shore line. The submarine uses the signals to figure out that its 50 Km closer to station Y than to X. Find the distance between the submarine to each of the stations.

Question

Hint: If $d_x$ and $d_y$ are the distances from the sub to X and Y and $d_x - d_y = 50$, then the ship must be on a hyperbola with foci at X and Y.

$\begin{array}{1 1} (A) d_x = 134, \; d_y = 84\\ (B) d_x = 142.6, \; d_y = 92.6 \\(C) d_x = 182.6, \; d_y = 132.6 \\ (D) d_x = 132.4, \; d_y = 82.4 \end{array}$