When a 40-foot pole casts a shadow of 30 feet, how tall is a nearby tree that casts a shadow of 15 feet?

Question

When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?

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Gia Bảo 3 years 2021-08-24T03:43:56+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-08-24T03:45:38+00:00

    Set up a ratio with height over shadow height:

    40/30 = x/15

    Cross multiply:

    40 x 15 = 30x

    600 = 30x

    Divide both sides by 30:

    X = 20

    The tree is 20 feet tall.

    0
    2021-08-24T03:45:54+00:00

    Answer:

    20

    Step-by-step explanation:

    It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15

    30 = 2 * 15

    So we simply do that to 40 too.

    40 / 2 = 20

    So 20 is our answer.

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