Question

a jungle gym that is 16 feet tall casts a shadow 30 feet long. if a nearby oak tree is 32 feet tall, how long will the oak trees shadow be? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up proportion

Let \(x\) be the length of the oak tree's shadow. Since the height - shadow length ratio is constant, \(\frac{16}{30}=\frac{32}{x}\).

Step2: Cross - multiply

\(16x = 30\times32\).

Step3: Solve for \(x\)

\(x=\frac{30\times32}{16}\).
\(x = 60\).

Answer:

\(60\)