Mathematics: Jack is 5 1/2 feet tall and casts a 9-ft shadow. at the same time, a basketball hoop casts a 24-foot shadow. how tall is the basketball hoop?

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Jack is 5 1/2 feet tall and casts a 9-ft shadow. at

angel478

16.01.2022

ANSWER

The height of the basketball hoop is

$14 \frac{2}{3} ft$

EXPLANATION

Let the height of the basketball hoop be x feet.

The shadow of the basketball hoop is 9 ft long.

The height of Jack is 5.5 feet.

Jack's shadow is 9 ft long.

By similar triangles,

$\frac{x}{5.5} = \frac{24}{9}$

Multiply both sides by 5.5

This gives us,

$x = \frac{24}{9} \times 5.5$

$x = \frac{132}{9}$

$x = 14 \frac{2}{3}$

The height of the basketball hoop is 14⅔ feet

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