The eye of a hurricane passes over Grand Bahama Island. It is moving in a direction 59.3◦ north of west with a speed of 38.9 km/h. Exactly 2.89 hours later, the course of the hurricane shifts due north, and its speed slows to 27.8 km/h, as shown.
How far from Grand Bahama is the hurricane 4.42 h after it passes over the island?
The problem is already solved and has the solutions to the problem. It is #3. But what I am not understanding is why they used 120.7 as their theta rather than 59.3
Magnitude (D) = square root ( Dx^2 + Dy^2)
The Attempt at a Solution
I understand how they did the problem, but can you just explain to me why they used 120.7 as their theta and not 59.3. If they use 120.7 as their theta, wouldn't sin120.7 give you your x-component, not your y-component. And when using cos120.7, wouldn't that give you your y-component, not your x-component.