Question

dillon knows that a plum tree that is 8 feet tall casts a shadow that is 15 feet long. he wants to calculate the height of a nearby marble column. if its shadow is 30 feet long, how tall is the marble column?
write your answer as a whole number or a decimal. do not round.
feet
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Explanation:

Step1: Set up proportion

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

Step2: Solve for \( h \)

Cross - multiply: \( 15h = 8\times30 \). Calculate \( 8\times30 = 240 \). Then, \( h=\frac{240}{15} \). Simplify the fraction: \( h = 16 \).

Answer:

16