An airplane starting from airport A flies 300 km east, then 355 km at 24.5° west of north?
An airplane starting from airport A flies 300 km east, then 355 km at 24.5° west of north, and then 150 km north to arrive finally at airport B.
(a) The next day, another plane flies directly from A to B in a straight line. In what direction should the pilot travel in this direct flight?
___° north of east
(b) How far will the pilot travel in the flight? Assume there is no wind during either flight.
___ km
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Verified answer
draw it out.
a)
300 to the right. Then to the left at 24.5°, so that is 355 sin 24 for the the northward distance and 355 cos 24 for the westerly distance. Plot those numbers compared to the 300km. Then you add 150 to the 355 sin 24.
angle = tan^-1 northerly dist/eastward dist.
b) sum up all the work in a)