Question 948203: Another pilot plans to travel 300 km east, then 300 km north-east. Show that the resultant bearing is 67.5 degrees. How far east of its starting point has the plane travelled? Please Help! I am struggling! Thank You!
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Let East be positive x and North be positive y.
Then starting from ( ,), pilot first goes 300km East.
(,)+( ,)=(,)
Then 300km NE,
(,)+( , )=(,)+( ,)=( ,)
So the plane has traveled 512.1 miles East.
The angle that the bearing makes with the x-axis would be found using the tangent.
So I'm assuming that the bearing you need is from North (positive y) which would be,
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