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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 in.

Answer 1

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.