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Homework Help: Displacement vecotrs

  1. Sep 26, 2010 #1
    1. The problem statement, all variables and given/known data
    Route follewed by hiker consists of displacement vectors A, B, C. Vector A is 1550 m long in a direction 25.0 N of E. Vector B is of unknown length but in a direction of 41.0 E of S. Vector C is also of unknown length but of direction 35.0 N of W. Hiker ends up where he started (A+B+C=0). Find magnitudes of B and C.


    2. Relevant equations
    Sine law: (a/sinA)=(b/sinB)=(c/SinC)


    3. The attempt at a solution
    Ok so i drew the triangle and figured out all of the interior angles:
    A=14.0 degrees
    B=60.0 degrees
    C=106.0 degrees

    Also i know side a=1550 m

    I used the sin law to get
    (a/sinA)=(b/sinB)
    (1550/sin14)=(b/sin60)
    b=(1550sin60/sin14)
    b=5548.6477 m

    (a/sinA)=(c/sinC)
    (1550/sin14)=(c/sin106)
    c=(1550sin106/sin14)
    c=6158.829

    I was just wondering if I did this right because the numbers look pretty big to me and would like someone to double check for me.
    Thanks in advance.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 26, 2010 #2
    Anyone? Id like to know if there are any errors.
     
  4. Sep 26, 2010 #3

    D H

    User Avatar
    Staff Emeritus
    Science Advisor

    Those numbers are correct.
     
  5. Sep 26, 2010 #4
    Thanks a bunch
     
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