Question

An illustrator dilates an octagonal poster with a side length of 6 feet and a height of 14.5 feet to create an image for a billboard. The original poster dimensions are 1/4 of the image on the billboard. What is the height of the billboard image?

A) 6.125 feet
B) 58 feet
C) 29 feet
D) 36.5 feet

Answer 1

The calculated height of the billboard image is 58 feet

What is the height of the billboard image?

From the question, we have the following parameters that can be used in our computation:

Side length = 6 feet

Height = 14.5 feet

Also, we have

Image = 1/4 of the original

This means that

original = 4 * Image

Substitute the known values into the equation

original = 4 * 14.5

original = 58

Hence, the height of the billboard image is 58 feet