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Math Help - Regular polygon

  1. #1
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    Regular polygon

    Hey Guys,
    I need some help finding the value of the variable.
    I know you will need to use sine for this one but I don't know what numbers to use.
    I know it's a regular polygon with 5 sides so that means each angle is 72.
    I don't know what the next step would be.




    State the ratio needed, and use it to findthe measure of the indicated line segment to the nearest tenthof a unit.
    Attached Thumbnails Attached Thumbnails Regular polygon-screen-shot-2014-02-10-1.15.19-am.png  
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  2. #2
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    Re: Regular polygon

    Surely each angle in the polygon is 3 x 180 / 5 = 108 degrees...
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    Re: Regular polygon

    Quote Originally Posted by Prove It View Post
    Surely each angle in the polygon is 3 x 180 / 5 = 108 degrees...
    Hi Prove it,
    Do you know how to get sine = 5.9 ft for this problem?
    I don't seem to know how
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  4. #4
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    Re: Regular polygon

    Sine of WHAT to equal 5.9 ft?
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    Re: Regular polygon

    Quote Originally Posted by Prove It View Post
    Sine of WHAT to equal 5.9 ft?
    I don't know, that's what I have to figure out. The answer is sine(?) = 5.9ft
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  6. #6
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    Re: Regular polygon

    Have you started by drawing a triangle using two radii and the side f? Can you fill in any sides and angles?
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    Re: Regular polygon

    Each triangle is an isosceles triangle with equal sides each equal to 5 ft. equal angles as 54 degree and third angle as 72 degree
    The ration will be f/(sin 72 degree ) = 5 / ( sin 54 degree )
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