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8th grade math

if a person is 6 feet tall and casts a 9 foot shadow, how tall would the shadow of a 100 foot tall tree be?

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  1. 6 / 9 = 100 / x Multiply both sides with x

    6 x / 9 = 100 Multiply both sides with 9

    6 x = 9 * 100

    6 x = 900 Divide both sides with 6ž

    x = 900 / 6

    x = 150 ft

    OR

    9 / 6 = 1.5

    x / 100 = 1.5 Multiply both sides with 100

    x = 1.5 * 100

    x = 150 ft

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  2. or using proportions and cross multiply:
    6:9
    100:?
    ? = 100*9/6=150

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  3. A tree and a building stand side by side. The 5-foot tall tree casts a shadow of 12 feet. If the building is 80 feet tall, how long is its shadow?

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