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a tower casts a 450 ft shadow at the same time that a 4 ft child casts a 6 ft shadow. Write and solve a proportion to find the height of a tower

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check the picture below.
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Answer:

[tex]x=300[/tex]

Step-by-step explanation:

Set up the proportion;

[tex]\frac{x}{450} =\frac{4}{6}[/tex]

then cross multiply;

[tex]6x=450[/tex] · [tex]4[/tex]

[tex]6x=1800[/tex]

[tex]x=\frac{1800}{6} =300[/tex]

[tex]x=300[/tex]

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