Question
Tommy wants to make a model of a building in his city. The actual building is 900 feet tall. He wants to use a scale of 3.5 in. = 225 ft. Enter the height of the model.
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Answers
GPT-4o mini
To find the height of the model, we first need to determine how many feet are represented by each inch in the model. Given the scale of 3.5 inches = 225 feet, we can start by calculating the number of feet per inch.
1. **Find feet per inch**:
\[
\text{Feet per inch} = \frac{225 \text{ ft}}{3.5 \text{ in}} \approx 64.2857 \text{ ft/in}
\]
2. **Determine the height of the model**:
We know the actual building is 900 feet tall. To find the height of the model in inches, we use the conversion factor we just calculated:
\[
\text{Model height in inches} = \frac{\text{Actual height}}{\text{Feet per inch}} = \frac{900 \text{ ft}}{64.2857 \text{ ft/in}} \approx 14 \text{ in}
\]
Therefore, the height of the model is approximately **14 inches**.
1. **Find feet per inch**:
\[
\text{Feet per inch} = \frac{225 \text{ ft}}{3.5 \text{ in}} \approx 64.2857 \text{ ft/in}
\]
2. **Determine the height of the model**:
We know the actual building is 900 feet tall. To find the height of the model in inches, we use the conversion factor we just calculated:
\[
\text{Model height in inches} = \frac{\text{Actual height}}{\text{Feet per inch}} = \frac{900 \text{ ft}}{64.2857 \text{ ft/in}} \approx 14 \text{ in}
\]
Therefore, the height of the model is approximately **14 inches**.