Plane will end up flying ( ) degree off corse.
The plain's speed relative to ground will be ( ) km/hr
PLS help me.... Thank you !!!
An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the southwest at 30 km/hr.
\(v^2=800^2+30^2-2*800*30cos135\\ v^2=674841.1255\\ v=821.487\;\;km/h\)
\(30^2=800^2+821.487^2-2*800*821.487cos\alpha\\ cos\alpha=0.999666706\\ \alpha=1^028'46"\\ \mbox{The plane will be off course by }N\;1^028'46''\;E\qquad \mbox{to the nearest second}\)