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Trig/Geometry Help!

  1. Feb 19, 2012 #1
    I am currently in dynamics and I know the only thing holding me back is understanding the position of angles, no matter how much time I spend attempting to figure out the trig behind most of these problems I never gain any ground. If anyone can simply and sweetly explain to me why the equation of relative motion (IMAGE BELOW) uses sin(30) in the x-direction and cos(30) in the y-direction, and also how is it possible to use 60° rather than the 30°.

    I would be unbelievably grateful if someone can shed light onto what may be the only reason holding me back from the grade I deserve in this class! If you can draw a simple picture that would be beyond fantastic as I am absolutely a visual learner.

    Thank you soo much in advance!!
    -Daniela

    zujtkx.jpg

    **The conceptual basis of the problem being one of relative motion I am having NO problem understanding. So please do not consider this a homework problem that I need help solving.**
     
  2. jcsd
  3. Feb 19, 2012 #2

    tiny-tim

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    Hi Daniela! :smile:
    The rule to remember is that it's always cos.

    The component of a vector V (such as velocity or force) in a particular direction is always Vcosθ, where θ is the angle between the velocity and the direction.

    So the car B is pointing 30° from the y direction, and 60° from the x direction.

    So the y component is Vcos30°, and the x component is Vcos60°. :wink:

    (obviously, the latter is also Vsin30°)
     
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