Algebra and Trigonometry

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A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?

  • Algebra and Trigonometry -

    I just did this for Sarah below :(

  • Algebra and Trigonometry -

    Trig - Damon, Sunday, March 3, 2013 at 6:24pm

    East speed = 100 + 200 sin 45 = 241
    North speed = 200 cos 45 = 141

    speed = sqrt( 141^2 + 241^2) = 279 mph
    tan east of north = 241/141
    so angle east of north = 60 degrees

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