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March 30, 2017

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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 - ,

    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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