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Math Help - help in math problem

  1. #1
    USQ
    USQ is offline
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    Smile help in math problem

    A sport ground is approximately a circle of 156 metres diameter. At the edge of the circle, light towers are to be erected for night-time events at the ground. The lights are 64 metres high. At night a person 185 cm tall stands in the middle of the field.


    A- How long will the person's shaow be?

    B- What happens to the length of shadow (I) as:
    (1) the size of the ground (s) changes
    (2) the hight of the tower (h) changes
    (3) using two appropriate graphs, show the changes to the length of the shadow in relation to the ground and tower



    help me please to solve it
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  2. #2
    Eater of Worlds
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    Try drawing a picture and using similar triangles.

    h=height of towers and r=radius of circular field.

    \frac{h}{r+x}=\frac{1.85}{x}

    \frac{64}{78+x}=\frac{1.85}{x}

    Solve for x. This will be the length of the shadow at the dimensions given.

    Then, try larger values for h and r and see what happens to x when you solve.
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