Question

malik found that a climbing structure that is 8 feet tall casts a shadow 15 feet long. then malik noticed that a maple tree nearby casts a shadow 30 feet long. how tall is the maple tree? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the maple tree. The ratio of height to shadow length should be the same for the climbing structure and the maple tree. So, \(\frac{8}{15}=\frac{h}{30}\).

Step2: Solve for \( h \)

Cross - multiply: \( 15h = 8\times30 \).
Calculate \( 8\times30 = 240 \), so \( 15h = 240 \).
Divide both sides by 15: \( h=\frac{240}{15}=16 \).

Answer:

16