Posted by Karen on Monday, December 10, 2012 at 1:17am.
A airplane is 145 miles North and 85 miles west of an airport. What is the compass direction from the airport to the airplane?

pre calculus  Reiny, Monday, December 10, 2012 at 9:14am
making a sketch , I got
tanØ = 145/85 = 1.7058...
Ø = 59.62°
Using the standard compass notation (north is zero, go clockwise)
direction is 180  59.62° = 120.38°
or sometimes you see it as N 59.62° W
OR
plane is at (85,145) on a grid , which is in quadrant II
tan Ø = 145/85
Ø = 59.62° which would be the angle in quadrant IV
or 180  59.62 = 120.38 > our angle
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