Question

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 1

Speed = 262.49

Direction = 72.26°

Step-by-step explanation:

`\sqrt{ {250}^(2) + {80}^(2) }`

=262.49mi/hr

`\tan( \alpha ) = (y)/(x)`

`\tan( \alpha ) = (250)/(80)`

`\alpha = {tan}^( - 1) ( (250)/(80) )`

=72.26°