a flagpole casts a shadow 160 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. What is the

Question

a flagpole casts a shadow 160 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. What is the height, in feet, of the flagpole?

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Minh Khuê 3 years 2021-08-29T11:22:34+00:00 2 Answers 24 views 0

Answers ( )

    0
    2021-08-29T11:23:35+00:00

    the answer is 40.

    cross multiply

    0
    2021-08-29T11:24:28+00:00

    Answer:

    The flagpole is 40 feet tall.

    Step-by-step explanation:

    So, we are looking for the height of the flagpole. Let h represent this height.

    Boy – 5 feet in height and casts a 20-foot shadow

    Flag pole – h feet in height and casts a 160-foot shadow

    The relationship looks something like this:

    5 : 20 :: h : 160

    or

    \frac{5}{20} =\frac{h}{160}

    Now, we can cross multiply to find h!

    20h=800\\h=40

    So, the flagpole is 40 feet tall

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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