Question

a stone tower is 16 meters tall. close by, there is a redwood tree that is 32 meters tall. if the stone towers shadow is 30 meters long, how long is the redwood trees shadow? write your answer as a whole number or a decimal. do not round..

Explanation:

Step1: Set up proportion

Let \( x \) be the length of the redwood tree's shadow. Since the ratio of height to shadow length is constant (similar triangles), we have \(\frac{16}{30}=\frac{32}{x}\).

Step2: Solve for \( x \)

Cross - multiply: \( 16x = 32\times30 \). Then \( 16x=960 \). Divide both sides by 16: \( x=\frac{960}{16}=60 \).

Answer:

60