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Math Help - trigo

  1. #1
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    trigo

    Juliana gets into the seat at the bottom of a Ferris wheel that is 1.5m above the ground . The radius of the Ferris wheel is R m and it rotates in an anticlockwise direction .

    (a) Find the height , H m , of Juliana from the ground when the Ferris wheel stops after rotating 300 degree . ( Give your answer in terms of R )

    (b) Determine the height , H , if R =10
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  2. #2
    Super Member

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    Hello, mathaddict!

    Juliana gets into the seat at the bottom of a Ferris wheel 1.5 m above the ground.
    The radius of the Ferris wheel is r m and it rotates in an CCW direction.

    (a) Find the height, h, of Juliana from the ground when the Ferris wheel stops
    after rotating 300. (Give your answer in terms of r.)
    Code:
                  * * *
              *           *
            *               *
           *                 *
    
          *         P         *
          *         o         *
          *    r  / |         *
                /60|r
           *  /     |C       *
          A o - - - o - - - *
            : *     |     *
            :     * * * 
          h :       |
            :       |1.5
            :       |
        - - o - - - o - - - - - -
            B       D

    The center of the Ferris wheel is P.
    The radius is: r = PA
    \angle APD  = 60^o
    In right triangle PCA,\;OC \:= \:r\cos60^o \:=\:\frac{r}{2}

    Hence: . h \;=\;AB \;=\;PF - PC \;=\;(r + 1.5) - \frac{r}{2}

    . . Therefore: . \boxed{h \;=\;\frac{r+3}{2}}

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  3. #3
    MHF Contributor
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    hi Soroban , Thanks for ur effort in explaining
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