Answer:
The answer is 226.5
Step-by-step explanation:
When you draw out the triangle, a is 200, b is 30, and C is 150. This is because if you go northwest, it is impossible for that to be an acute angle. Just look at a compass. Because of this, we know C is obtuse. The statement that the ship adjusts its course 30° means not that the angle is 30 degrees, but that the direction is changed 30 degrees. The boat went from traveling in a straight distance (180 degrees) to traveling northwest, so you subtract 30 degrees from 180, giving you 150. With the triangle drawn out with the correct measurements, you should not=w be able to solve by using the law of cosines: [tex]c^{2} = 200^{2} +30^{2} - 2(200)(30) cos(150[/tex]. solve for c and you will get 226.5. Hope this helps y'all!
