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The ratio of a model building’s dimensions to the building’s actual dimensions is . If the height of the model is
15 inches, what is the height of the actual building in feet?

Ask by Mitchell Bolton. in the United States
Jan 08,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The actual building is 65 feet tall.

Solution

To determine the actual height of the building based on the model’s dimensions, follow these steps:
  1. Understand the Scale Ratio:
    • The scale ratio is , meaning 1 inch on the model represents 52 inches on the actual building.
  2. Calculate the Actual Height in Inches:
    • Model height = 15 inches
    • Actual height =
  3. Convert Inches to Feet:
    • There are 12 inches in a foot.
Therefore, the actual building is 65 feet tall.
Answer: 65 feet

Answered by UpStudy AI and reviewed by a Professional Tutor

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Beyond the Answer

To find the height of the actual building, we start by using the ratio provided. Since the ratio of the model to the actual building is , we can set up the following equation:
Given that the height of the model is 15 inches, we can substitute this value into the equation:
Now, we can solve for the height of the actual building by multiplying both sides by 52:
Next, we need to convert the height from inches to feet. Since there are 12 inches in a foot, we divide by 12:
So, the height of the actual building is 65 feet.

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