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

## Answer This Question

## Related Questions

- Pre Cal - An airplane leaves an airport and flies due west 150 miles and then ...
- Math - Two airplanes at 25,000 ft above the ground are flying toward the same ...
- Math - An airplane leaves the airport and flies due west 170 miles and then 240 ...
- trig - an airplane leaves the airport and flies due west 150 miles and then 240 ...
- Math/Trig - An airplane leaves an airport and flies due west 150 miles and then ...
- math - an airplane leaves an airport and travels 100 miles in a direction of 300...
- Math - An airplane is flying 100 km north and 185 km west of an airport. It is ...
- Math 11 - An airplane is flying 100 km north and 185 km west of an airport. it ...
- geometry - an airplane is flying 75km south and 35 km west of an airport. It is...
- Trigonometry - Round answer to two significant digits. An airplane flew 300 ...

More Related Questions