A plane is heading south at 250 mi/hr. If the jet stream (wind) is blowing from west to the east at 80 mi/hr, what is the speed and direction of the plane?

Answer:
Speed = 262.49
Direction = 72.26°
Explanation:
[tex] \sqrt{ {250}^{2} + {80}^{2} } [/tex]
=262.49mi/hr
[tex] \tan( \alpha ) = \frac{y}{x} [/tex]
[tex] \tan( \alpha ) = \frac{250}{80} [/tex]
[tex] \alpha = {tan}^{ - 1} ( \frac{250}{80} )[/tex]
=72.26°