Posted by Sam on Sunday, February 14, 2010 at 3:16pm.
An airplane is flying at 550 km/h on a heading of 080 degrees. The wind is blowing at 60 km/h from a bearing of 120 degrees. Find the ground velocity of the airplane and include the new bearing.

vector addition  drwls, Sunday, February 14, 2010 at 5:41pm
This is not calculus.
The air (wind) velocity PLUS the plane's air velocity equals the ground velocity.
Perform the vector addition 
calculus  Henry, Friday, July 31, 2015 at 7:49pm
Vpw = Vp + Vw = 550[80o] + 60[120o] =
550*cos80+550*sin80 +60*Cos120+60*sin120
= 95.5+541.6i  30+52i = 65.5 + 593.6i.
= 597mi/h[83.7o]. 
calculus  Henry, Friday, July 31, 2015 at 11:30pm
Note: Vpw = 597km/h[83.7o] E. of N.