ANSWER
The height of the basketball hoop is
[tex]14 \frac{2}{3} ft[/tex]
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,
[tex] \frac{x}{5.5} = \frac{24}{9} [/tex]
Multiply both sides by 5.5
This gives us,
[tex]x = \frac{24}{9} \times 5.5[/tex]
[tex]x = \frac{132}{9} [/tex]
[tex]x = 14 \frac{2}{3} [/tex]
The height of the basketball hoop is 14⅔ feet
