Ship Navigation Three ships, A, B, and C, are sailing along the same straight line on a course of 240°. Ship A is at the front, and ship C brings up the rear. From ship A. the bearing of a navigation buoy is 025°. The buoy is 2.5km from ship A and 2km from ships B and C. To the nearest degree, what is the bearing of the buoy from ship C? from ship B?
Hello, Braedong!
Three ships, A, B, and C, are sailing along the same straight line on a course of 240°.
Ship A is at the front, and ship C brings up the rear.
From ship A. the bearing of a navigation buoy is 025°.
The buoy is 2.5km from ship A, and 2km from ships B and C.
To the nearest degree, what is the bearing of the buoy from ship C? from ship B?
The ships are at . The buoy is at .Code:P Q R . . . * * * W . . . : : X : * - - - - - - - - - - - * O . . . : : o : 60d * . . . : : ** * 2 : * . . . : : * * * : * . . . : :* *2 * : * . . . : *: * o . . . : * : * * C . . . : 25d * :* * . . . : * 5d o . . . : * * B o A
In , Law of Sines: .
. .
Therefore, the bearing of the buoy from ship is
Since is isosceles,
Hence:
Therefore, the bearing of the buoy from ship is