Question

mateo found that a bus - stop sign that is 5.6 feet tall casts a shadow 3.3 feet long. then mateo noticed that an ash tree nearby casts a shadow 6.6 feet long. how tall is the ash tree? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up the proportion

Let \( h \) be the height of the ash tree. The proportion is \(\frac{\text{height of sign}}{\text{length of sign's shadow}}=\frac{\text{height of tree}}{\text{length of tree's shadow}}\), so \(\frac{5.6}{3.3}=\frac{h}{6.6}\).

Step2: Solve the proportion for \( h \)

Cross - multiply: \(3.3h = 5.6\times6.6\). Then \(h=\frac{5.6\times6.6}{3.3}\). Since \(\frac{6.6}{3.3}=2\), we have \(h = 5.6\times2\).

Answer:

\(11.2\)