How do you set up the triangle to solve?

Question

Randy and Sandy are in two fire lookout towers located 3 miles apart on a line running east-west. A campfire is spotted at a bearing of 34◦ from the western tower and 333◦ from the other. Sandy is dispatched immediately from the tower nearest the fire to put it out. If she travels at a rate of 3 miles per hour, how many minutes will it take her to get to the fire?

Answer 1

The angles of the triangle are 34°+360°-333° = 61°, 333° - 270° = 63°, and 90° - 34° = 56°

Then, the tower closer is 3 * sin 56°/ sjn 61° away, and it will take 3 * sin 56°/ sjn 61°/3 =

sin 56°/ sjn 61°= .9479 hours = 56.87 minutes.