A basketball hoop in your backyard casts a shadow 109 inches long. You are 5‘8" tall in cast a shadow 62 inches long. Find the height of the basketball hoop in inches round your answer to the nearest whole number

Respuesta :

Height of the basketball hoop = 120 inches

Step-by-step explanation:

Height of shadow of basketball hoop = 109 inches

Height of person = 5 foot 8 inches = 68 inches

Height of shadow of person = 62 inches

[tex]\frac{\texttt{Height of person}}{\texttt{Height shadow of person}}=\frac{68}{62}=\frac{34}{31}[/tex]

[tex]\frac{\texttt{Height of basketball hoop}}{\texttt{Height of shadow of basketball hoop}}=\frac{34}{31}\\\\\frac{\texttt{Height of basketball hoop}}{109}=\frac{34}{31}\\\\\texttt{Height of basketball hoop}=119.55inches=120inches[/tex]

Height of the basketball hoop = 120 inches