Question

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

Answer 1

Height of the basketball hoop = 120 inches

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

`\frac{\texttt{Height of person}}{\texttt{Height shadow of person}}=(68)/(62)=(34)/(31)`

`\frac{\texttt{Height of basketball hoop}}{\texttt{Height of shadow of basketball hoop}}=(34)/(31)\\\\\frac{\texttt{Height of basketball hoop}}{109}=(34)/(31)\\\\\texttt{Height of basketball hoop}=119.55inches=120inches`

Height of the basketball hoop = 120 inches