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March 30, 2017

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Jonathan is 3 ft from a lamppost that is 12 ft high. The lamppost and it's shadow form the legs of a right triangle. Jonathan is 6 ft tall and Is standing parallel to the lamppost. How long is Jonathan's shadow?
I don't get how the answer is square root 180, Ryan?

  • Geometry - ,

    Actually, it's sqrt(180) from the top of the pole to the tip of the shadow.

    Using similar triangles, if the shadow is x feet long,

    12/(3+x) = 6/x
    12x = 18 + 6x
    6x = 18
    x = 3

    so, the shadow is 3 feet long.

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