152k views
3 votes
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?

1 Answer

2 votes

Final answer:

The building's height on the blueprint is calculated using a proportion based on the scale provided. With a scale of 1/4 inch to 5 feet, and the actual height being 55 feet, the building's height would be represented as 2.75 inches on the blueprint.

Step-by-step explanation:

The student is asking about how to use scale factors to determine the height of a building on a blueprint, given the actual height of the building. In this case, the scale specified on the blueprint is 1/4 inch represents 5 feet. To find the height of the building on the blueprint when the actual height is 55 feet, we set up a proportion where 1/4 inch corresponds to 5 feet, and then we solve for the unknown height on the blueprint.

To calculate the blueprint height:

First, write the unit scale as a ratio: 1/4 inch / 5 feet.

Then, set up the proportion: (1/4 inch / 5 feet) = (x inches / 55 feet).

To solve for 'x', you cross-multiply and divide: (1/4) * 55 = 5x, which gives us x = (1/4) * 11.

The solution yields x = 2.75 inches. So, the building's height on the blueprint is 2.75 inches.

User Patricjansson
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.