Question

In the scale used on a blueprint, 1/4 inch represents 5 feet.

On the blueprint, what is the height of a building with an actual height of 55 feet?

Answer 1

To find the height of the building on the blueprint, we need to determine the scale factor.

In this case, 1/4 inch represents 5 feet.

So, for every 1 inch on the blueprint, the actual height is 5 x 4 = <<5*4=20>>20 feet.

Since 1/4 inch represents 20 feet on the blueprint, we can set up the following proportion:

1/4 inch = 20 feet
x inches = 55 feet

Cross multiplying, we have:

1 inch * 55 feet = x inches * 20 feet
55 = 20x

Simplifying, we find:

x = 55/20
x = 2.75 inches

Therefore, the height of the building on the blueprint is 2.75 inches.