Question

a shadow 16 feet long is cast by a birch tree that is 30 feet tall. what is the length of the shadow cast by a nearby oak tree that that is 60 feet tall? 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 ratio of height to shadow length is the same for both trees, we have \(\frac{30}{16}=\frac{60}{x}\).

Step2: Cross - multiply

\(30x = 16\times60\).

Step3: Solve for \(x\)

\(x=\frac{16\times60}{30}\).
\(x = 32\).

Answer:

\(32\)