Question

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?

Answer 1

Answer:

The height of the flagpole is $25\ ft\ 4\ in$

Step-by-step explanation:

we know that

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

Remember that

$1\ ft=12\ inches$

Convert the measures in inches

$3\ ft=3(12)=36\ in$

$5\ ft\ 4\ in=5(12)+4=64\ in$

$14\ ft\ 3\ in=14(12)+3=171\ in$

$\frac{h}{64}=\frac{171}{36}\\ \\h=171*64/36\\ \\h=304\ in$

Convert inches into (feet + inches)

$h=304\ in=304/12=25.33\ ft=25\ ft\ 4\ in$