physics

a roller coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30 degrees above the horizontal. It then travels 135 ft at an angle of 40 degrees downward. what is its displacement from its starting point?

im not really sure what to do, I've drawn a graph but then got stuck.

Thanks!!!

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asked by laura
  1. I am not sure either because you did not say if the track circled around or went straight, for example East, the whole time.
    I will have to assume it went straight.
    In that case we will have to figure out how far East it went and how far up it went, then see how far that point is from the starting point
    East 200
    East 135 cos 30 , up 135 sin 30
    East 135 cos 40 , up -135 sin 40
    so East
    200 + 117 + 103 = 420
    and up
    67.5 - 86.8 = -19.3
    so the hypotenuse is sqrt (420^2 +19.3^2)

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    posted by Damon

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