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Math Help - Needing help with a vector word problem

  1. #1
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    Needing help with a vector word problem

    I'm taking my word problem final in two days and I really need to understand this ASAP. Here' s the problem:

    A place is flying on a bearing of South 10 degrees East at 460 mph. A tail wind is blowing in the direction of South 20 degrees West at 80 mph. Find the resultant velocity of the plane and give a graphic representation of the resultant vector.

    I'm just having problems finding angles and understanding so that I can use the Law of Cos.

    Thank you.
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  2. #2
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    Quote Originally Posted by Shanizzle View Post
    I'm taking my word problem final in two days and I really need to understand this ASAP. Here' s the problem:

    A place is flying on a bearing of South 10 degrees East at 460 mph. A tail wind is blowing in the direction of South 20 degrees West at 80 mph. Find the resultant velocity of the plane and give a graphic representation of the resultant vector.

    I'm just having problems finding angles and understanding so that I can use the Law of Cos.

    Thank you.
    Here is a diagram

    Needing help with a vector word problem-capture.jpg

    V_1=(460\cos(350),460\sin(350))

    V_2=(80\cos(200),80\sin(200))

    V_1+V_2 \approx (377.8,-107.2)

    So the resultant velocity is the magnitute of the sum of the vectors or

    ||V|| \approx \sqrt{(377.8)^2+(-107.2)^2}
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