pre calculus
posted by Karen on .
A airplane is 145 miles North and 85 miles west of an airport. What is the compass direction from the airport to the airplane?

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