Question

nicole wants to know the height of a pine tree. if the pine tree casts a shadow 30 feet long and a nearby apple tree that is 8 feet tall casts a shadow 15 feet long, then how tall is the pine 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 pine tree. The ratio of height to shadow length should be the same for both trees. 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: \( h=\frac{240}{15} \).
Simplify: \( h = 16 \).

Answer:

16