You are on an airplane traveling due east at 110 m/s with respect to the air. The air is moving with a speed 43 m/s with respect to the ground at an angle of 30° west of due north.
1)What is the speed of the plane with respect to the ground?
>>> I answered this question and got 95.26m/s by finding the x-component of the plane's velocity. Meaning 110 * cos(30) = 95.26m/s
2)What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east). _________° East of due North
>>> Here is where I am confused. I understand that involves finding the components of the wind itself meaning 43 * cos(30) and 43 * sin(30) but aside from that I don't really know what to do with that information at all.
Unsure. This is trigonometry-related and aside from basic sine cosine stuff I really don't remember anything or know what is needed to find the angle of something like this.
The Attempt at a Solution
Mentioned above. Thanks much in advance!