Posted by K on Friday, December 17, 2010 at 9:44am.
An airplane is flying on a compass heading (bearing) of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane. then find the actual ground speed and direction of the plane

Trig  Henry, Saturday, December 18, 2010 at 3:19pm
Vh = hor = 325cos340 + 40cos320,
Vh = 305 +30.6 = 335.6mph.
Vv = ver = 325sin340 + 40sin320,
Vv = 111.2 25.7 = 136.9mph.
tanA = Vv/Vh = 136.9 / 335.6 = 0.4080,
A =  22.2deg CW = 337.8 deg. CCW.
R = Vh / cosA = 335.6 / cos337.8 = 362.5mph @ 337.6 deg.

Trig  dully, Thursday, February 7, 2013 at 9:35pm
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