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Thread: 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
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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 $\displaystyle r$ m and it rotates in an CCW direction.

    (a) Find the height, $\displaystyle h$, 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 $\displaystyle P.$
    The radius is: $\displaystyle r = PA$
    $\displaystyle \angle APD = 60^o$
    In right triangle $\displaystyle PCA,\;OC \:= \:r\cos60^o \:=\:\frac{r}{2}$

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

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

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