Question
An airplane travels on a bearing of 245 degrees at an airspeed of 200 kilometers per hour while a wind is blowing 50 kilometers per hour from 140 degrees. Find the ground speed of the airplane and the direction of its track, or course, over the ground.
Answers
First, vessels travel on headings, not bearings.
200 @ 245° = (-181.262,-84.524)
50 @ 320° = (-32.134,38.302)
add them up to get
(-213.396,-46.222) = 218 @ 258°
200 @ 245° = (-181.262,-84.524)
50 @ 320° = (-32.134,38.302)
add them up to get
(-213.396,-46.222) = 218 @ 258°