Trigonometry · Medium problem

Locating a ship. Stations $A$ and $B$ lie $12$ km apart on an east–west line, with $B$ east of $A$. A ship $S$ is seen on bearing N$40^\circ$E from $A$ and on bearing N$20^\circ$W from $B$. Find the distance from each station to the ship. Round to 2 decimal places (an exact answer is also accepted).