pre calculus
posted by Karen .
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
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
Respond to this Question
Similar Questions

trig
an airplane leaves the airport and flies due west 150 miles and then 240 miles in the direction 200°40'. Assuming the earth is flat, how far is the plane from the airport at this time( to the nearest mile)? 
Math
An airplane leaves the airport and flies due west 170 miles and then 240 miles in the direction 200°30'. Assuming the earth is flat, how far is the plane from the airport at this time( to the nearest mile)? 
geometry
an airplane is flying 75km south and 35 km west of an airport. It is flying at a heigh of 6 km A)what is the straightline distance to the airport? 
Pre Cal
An airplane leaves an airport and flies due west 150 miles and then 230 miles in the direction S 39.67 degrees W. How far is the plane from the airport at this time to the nearest mile. 
Math
Two airplanes at 25,000 ft above the ground are flying toward the same airport.Airplane A is flying due south towards the airport at 200 miles per hour.At 10:00 AM Airplane A is 700 miles from the airport,and Airplane B is 925 miles … 
Math/Trig
An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction 210°50'. Assuming the Earth is flat, how far is the plane from the airport at this time (to the nearest mile) 
Math 11
An airplane is flying 100 km north and 185 km west of an airport. it is flying at a height of 7 km. A) what is the straightline distace to the airport? 
math
an airplane leaves an airport and travels 100 miles in a direction of 300 degrees. How far North of the airport is the plane then? 
Math
An airplane is flying 100 km north and 185 km west of an airport. It is flying at a height of 7 km A) what is the straight long distance to the airport? 
Trigonometry
An airplane is 48 miles due north of a town. An airport is 29 miles NorthWest of the town. It is determined that the airplane is 34 miles from the airport. On what bearing should the pilot fly to get to the airport?