First of all, sorry about my weak English (My official language is Portuguese).
In annexe, I show you my point of view about the problem.
I hope you understand!
Here's the word problem:
A ship is headed due north at a constant 24 miles per hour. Because of the ocean current, the true course of the ship is 15°. If the currents are a constant 22 miles per hour, in what direction are the currents running?
I know there's supposed to be two answers but I just keep getting to a point where Im not even sure what angle it is that Im looking for. Any help would be great
Lucio Carvalho has shown 1 solution.
The attached image is rough. It is not to scale.
It was quickly drawn & scanned.
This doesn't solve it, but the image shows the other case.
You have a triangle with two known sides and 1 known angle.
Use the to get the answer.
(get the arcsin of in degrees.)
The direction of the current:
NOTE: Theta can also take the value which will give the result as depicted by Lucio Carvalho.