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Finding the resultant vector

  1. Jan 27, 2011 #1
    1. The problem statement, all variables and given/known data
    In the figure below shows the path taken by a drunk skunk over a level ground, from initial point i to final point f. The angles are θ1 = 30, θ2 = 50, and θ3= 80, and the distance are d1 = 5.00 m, d2 = 8.00 m, and d3 = 12.0 m. What are the (a) magnitude and (b) angle of the skunk’s displacement from i to f?

    [​IMG]


    2. Relevant equations
    Using basic trigonometric functions, soh cah toa
    Let X and Y stands for the summation of x and y.
    Resultant vector = (X2 + Y2)1/2
    Let * stands for the resultant vector angle, then * = tan-1 = Y / X
    3. The attempt at a solution

    I have obtained the x and y component for d1. Finding x = (5.00 m)cos30 = 4.33 m and for y, (5.00m)(sin30) = 2.5 m. However, I'm having the difficulty to find the other x and y components of d2 and d3 because they aren't parallel to x and y axis respectively.

    For example, d2 is diagonal and I can't simply do (8.00 m)(cos 50) to find the x component because d2 is not parallel to x axis. Hence, connecting d1 and d2 will not form a right triangle which is necessary to find the x and y components using soh cah toa..

    Please give me an idea how to solve this..

    Thank you..:smile:

    PS. If the image link above doesn't work, pls. see the copy of this question in the attached file herein..
     

    Attached Files:

  2. jcsd
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