As Shown in the Figure, a Laser Positioned on a Ship

Multiple Choice

As shown in the figure, a laser positioned on a ship is used to communicate with a small research submarine resting on the bottom of a lake. The laser is positioned $12 \mathrm {~m}$ above the surface of the water, and it strikes the water $20 \mathrm {~m}$ from the side of the ship. The water is $58 \mathrm {~m}$ deep and has an index of refraction of $1.33$ . How far horizontally is the submarine from the side of the ship?
(Assume all numbers are accurate to three significant figures.)

A) $89 \mathrm {~m}$
B) $69 \mathrm {~m}$
C) $79 \mathrm {~m}$
D) $59 \mathrm {~m}$
E) $49 \mathrm {~m}$