Solve the Problem $10 ^ { \circ }$ From Its Direction of Travel

Multiple Choice

Solve the problem.
-A ship sailing parallel to shore sights a lighthouse at an angle of $10 ^ { \circ }$ from its direction of travel. After traveling 5 miles farther, the angle is $21 ^ { \circ }$ . At that time, how far is the ship from the lighthouse? If necessary, round to the nearest hundredth of a mile.

A) $9.39 \mathrm { mi }$
B) $5 \mathrm { mi }$
C) $2.42 \mathrm { mi }$
D) $4.55 \mathrm { mi }$