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Math Help - Finding distance to an object if it's height is known

  1. #1
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    Finding distance to an object if it's height is known

    I am sorry if this is in the wrong topic, but i am trying to find a formula for the following:

    I know that the height of a golf flag is 84 inches. From where i am standing, the flag appears to be 0.75 inches tall. How far away is the flag?

    Any / all help is appreciated

    Regards

    Jonathan
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  2. #2
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    Quote Originally Posted by jonnyknowsbest View Post
    I am sorry if this is in the wrong topic, but i am trying to find a formula for the following:

    I know that the height of a golf flag is 84 inches. From where i am standing, the flag appears to be 0.75 inches tall. How far away is the flag?
    Any / all help is appreciated
    Regards
    Jonathan
    To give a valid answer, it is necessary to know how far from your eye the 0.75" measurement happens to be.


    However, I'll make some assumptions:
    1) you are holding a penny (a penny is 19 mm diameter which is almost 3/4 inch) at arms length;
    your arm is 3 feet in length.


    Converting all to feet:
    0.75" is 0.75/12 feet or 0.0625 feet.


    3 feet is to 0.0625 feet as some unknown distance x is to 84 inches (84/12 is 7 feet)


     \dfrac{3}{0.0625} = \dfrac{x}{7}

     \dfrac{3 \times 7}{0.0625} = x = 336 feet.

    If the assumptions are not correct, then the results probably aren't either.
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