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To find the height h of a flagpole, Casey measured her own shadow and the flagpole’s shadow. Given that Casey’s height is 5 feet 4 inches, what is the height of the flagpole?

To find the height h of a flagpole Casey measured her own shadow and the flagpoles shadow Given that Caseys height is 5 feet 4 inches what is the height of the class=

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calculista

Answer:

The height of the flagpole is [tex]25\ ft\ 4\ in[/tex]

Step-by-step explanation:

we know that

If two figures are similar, the the ratio of its corresponding sides is proportional

Remember that

[tex]1\ ft=12\ inches[/tex]

Convert the measures in inches

[tex]3\ ft=3(12)=36\ in[/tex]

[tex]5\ ft\ 4\ in=5(12)+4=64\ in[/tex]

[tex]14\ ft\ 3\ in=14(12)+3=171\ in[/tex]

[tex]\frac{h}{64}=\frac{171}{36}\\ \\h=171*64/36\\ \\h=304\ in[/tex]

Convert inches into (feet + inches)

[tex]h=304\ in=304/12=25.33\ ft=25\ ft\ 4\ in[/tex]

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