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Math Help - Finding height from ferris wheel to ground.

  1. #1
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    Finding height from ferris wheel to ground.

    Hi, thank you for taking the time to look at my little problem.

    The figure shows a simplified model of the first Ferris wheel. The radius of the first Ferris wheel was 125 feet, and the distance from the ground to the bottom of the wheel was 14 feet. If (-) is the central angle formed as a rider moves from position P0 to position P1, find the rider's height above the ground h when (-) is 300.

    Would you mind helping me get started?
    Attached Thumbnails Attached Thumbnails Finding height from ferris wheel to ground.-11b.jpg  
    Last edited by Minty; September 20th 2009 at 02:26 PM. Reason: Picture too small
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  2. #2
    Eater of Worlds
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    The radius of the wheel is 125. Draw a line from height h on the wheel directly across and form a right triangle.

    Therefore, we can form the equation \frac{139-h}{125}=cos(\frac{5\pi}{3})

    Solve for h.
    Attached Thumbnails Attached Thumbnails Finding height from ferris wheel to ground.-ferris.gif  
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  3. #3
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    Thank you for responding galactus <3

    Sorry but please explain to me where the 5pi/3 comes from.



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