Question

proportions

1. a 6 ft tall boy casts a shadow 3 feet long. how long is the shadow of a 18 ft tall tree?

Explanation:

Step1: Set up the proportion

Let $x$ be the length of the tree's shadow. The proportion is $\frac{6}{3}=\frac{18}{x}$.

Step2: Cross - multiply

$6x = 3\times18$.

Step3: Simplify the right - hand side

$6x=54$.

Step4: Solve for $x$

$x=\frac{54}{6}=9$.

Answer:

9 feet