College Algebra

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If a person is 66 inches tall is standing 15 feet away from a streetlight. If the person casts a shadow 84 inches long, how tall is the streetlight?

  • College Algebra -

    Sorry, the question is "A person is 66 inches tall is standing 15 feet away from a streetlight. If the person casts a shadow 84 inches long, how tall is the streetlight?"

  • College Algebra -

    Let X be the streetlight height.
    84 inches is 7.00 feet.
    66 inches is 5.50 feet.
    Draw a figure with a light ray passing from the light, skimming the top of the person's head and striking the ground at the end of the shadow.
    Because of similar triangles,
    H/(15 + 7) = 5.5/7
    H = 22*(11/14) = 17.29 feet

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