An airplane is heading north at an airspeed of 700 km/hr, but there is a wind blowing from the southwest at 80 km/hr.
The plane will end up flying ___?___ degrees off course
The plane's speed relative to the ground will be ___?__ km/hr
Can you help me fill in the blanks?
North direction components 700 km/hr and 80 cos -45o added = 756.57
SOuth component 80 sin -45o = - 56.57
Degrees south of north = arctan -56.67/756.57 = -4.28 degrees toward south or 4.28 degrees off course
Ground speed = sqrt (756.572 + (-56.572) ) =758.68 km/hr