Answer:
Proportion states that the two fractions or ratios are equal.
Given the statement: A building has a shadow that is 18 feet long. Will is 5 feet tall, and he is standing next to the building. Will has a shadow that is 3 feet long.
⇒ Shadow of a building = 18 feet, Height of the boy = 5 feet and shadow of the boy = 3 feet.
Let x be the height of the building.
By definition of proportion;
[tex]\frac{\text{Height of the boy}}{\text{Shadow of the boy}} =\frac{\text{Height of the building}}{\text{Shadow of the building}}[/tex]
Substitute the given values we get;
[tex]\frac{5}{3}=\frac{x}{18}[/tex]
Multiply both sides by 18, we get;
[tex]x = \frac{5}{3} \times 18 = 5 \times 6 = 30[/tex]
Therefore, the height of the building is, 30 feet.
