The pilot of an airplane that flies at 650 km/h wishes to travel to a city 1000 km due east. There is a 75 km/h wind from the northeast.

a)What should the plane's heading be?

b) How long will the trip take?

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- May 25th 2010, 04:40 PMRyGuyFinding a plane's heading and length of trip
The pilot of an airplane that flies at 650 km/h wishes to travel to a city 1000 km due east. There is a 75 km/h wind from the northeast.

a)What should the plane's heading be?

b) How long will the trip take? - May 25th 2010, 04:54 PMskeeter
I take it that you've made a sketch of the Air + Wind = Ground velocity vectors ...

let = groundspeed along a track due east.

= heading angle relative to east

using components ...

from the second equation ...

plane should steer about north of east.

km/hr

... this problem can also be completed using the law of cosines.