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GarryVolchara [31]
3 years ago
13

A flagpole casts a shadow 16 feet long.

Mathematics
1 answer:
Triss [41]3 years ago
7 0

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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