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Math Help - Modelling with trigonometric functions

  1. #1
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    Modelling with trigonometric functions

    Hi,
    I have this math problem from my textbook buti'm not really sure how I can get the original sine formula

    Here is the question
    A Ferris wheel has a diameter of 56m, and one revolution took 2.5 min to complete. Riders could see Niagara Falls if they were higher than 50m above the ground. Sketch cycles of a graph that represents the height of a rider above the ground, as a function of time, if the rider gets on at a height of 0.5m at t=0 min. Then determine the time intervals when the rider could see Niagara Falls.

    So, I know the period must be 2.5 right? the diameter 56/2= 28 <--radius
    but i'm not really sure how i'd go from there

    thank you
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello LostCase
    Quote Originally Posted by LostCase View Post
    Hi,
    I have this math problem from my textbook buti'm not really sure how I can get the original sine formula

    Here is the question
    A Ferris wheel has a diameter of 56m, and one revolution took 2.5 min to complete. Riders could see Niagara Falls if they were higher than 50m above the ground. Sketch cycles of a graph that represents the height of a rider above the ground, as a function of time, if the rider gets on at a height of 0.5m at t=0 min. Then determine the time intervals when the rider could see Niagara Falls.

    So, I know the period must be 2.5 right? the diameter 56/2= 28 <--radius
    but i'm not really sure how i'd go from there

    thank you
    This was posted yesterday.

    Grandad
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