Question

1. a local lighthouse is 132.75 feet tall. during a visit to the lighthouse, tammy, who is 6 feet tall, cast a shadow that is 2.5 feet long

how long, in feet, was the shadow that the lighthouse cast?
__________ feet

Explanation:

Step1: Set up proportion

Let \( x \) be the length of the lighthouse's shadow. The ratio of height to shadow length should be equal for Tammy and the lighthouse. So, \(\frac{6}{2.5}=\frac{132.75}{x}\)

Step2: Solve for \( x \)

Cross - multiply: \( 6x = 2.5\times132.75 \)
First, calculate \( 2.5\times132.75=331.875 \)
Then, \( x=\frac{331.875}{6}=55.3125 \)

Answer:

55.3125