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Math Help - vectors

  1. #1
    Member Mr Rayon's Avatar
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    vectors

    A pilot plans to travel 300 km east, then 300 km north-east. Show that the resultant bearing is 67.5 degrees.
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  2. #2
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    skeeter's Avatar
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    Quote Originally Posted by Mr Rayon View Post
    A pilot plans to travel 300 km east, then 300 km north-east. Show that the resultant bearing is 67.5 degrees.
    displacement east ... x = 300+300\cos(45)

    displacement north ... y = 300\sin(45)

    \theta = \arctan\left(\frac{y}{x}\right)
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  3. #3
    Member eXist's Avatar
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    Skeeter has a more mathematical approach, I prefer to drawn the picture. After drawing it, you realize it's an isosceles triangle, and filling in the angles are pretty easy. Take a look at my drawing:

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