A flagpole casts a shadow 16 feet long. Shanika is standing near the pole. Her shadow is 4 feet long. Shanika’s height is 5

Question

A flagpole casts a shadow 16 feet long.
Shanika is standing near the pole. Her
shadow is 4 feet long. Shanika’s height is 5
feet. How tall is the flagpole?

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Thiên Hương 3 years 2021-08-05T09:16:47+00:00 1 Answers 10 views 0

Answers ( )

  1. kimcuc
    0
    2021-08-05T09:18:44+00:00
    Reply

    Step-by-step explanation:

    Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.

    By similar triangles:

    \frac{x \: of \: pole}{y \: of \: pole} = \frac{x \: of \: shanika}{y \: of \: shanika} \\ \frac{16}{ height \: of \: pole} = \frac{4}{5} \\ 16(5) = 4 \times height \: of \: pole \\ height \: of \: pole = \frac{80}{4} \\ = 20

    The height of the pole is 20ft.

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