Question

A scale model of the Washington monument is 18 inches tall and the base is 2.5 inches wide. If the actual monument is approximately 555 feet tall, what is the width, in feet, of the base?

Answer 1

Answer:

77.1 feet

Step-by-step explanation:

Scale model:

Height = 18 inches

Width = 2.5 inches

Actual monument:

Height = 555 feet

Width = x feet

Write a proportion:

$\dfrac{\text{Scale height}}{\text{Actual height}}=\dfrac{\text{Scale width}}{\text{Actual width}}\\ \\ \\\dfrac{18 \ inches}{555\ feet}=\dfrac{2.5\ inches}{x\ inches}\\ \\ \\x=\dfrac{555\ feet\cdot 2.5\ inches}{18\ inches}\approx 77.1\ feet$