An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet.

What is the height of the scale model in inches?
A.3 in.
B.12 in.
C.60 in.
D.105 in.

To determine the height of the scale model, we need to use the given scale: **2 inches represents 30 feet**. We can set up a proportion based on this scale to find the height of the model in inches.

Let \( x \) represent the height of the scale model in inches.

\[
\frac{2 \, \text{inches}}{30 \, \text{feet}} = \frac{x \, \text{inches}}{180 \, \text{feet}}
\]

Now, cross-multiply to solve for \( x \):

\[
2 \times 180 = 30 \times x
\]

\[
360 = 30x
\]

Now, divide both sides by 30:

\[
x = \frac{360}{30} = 12 \, \text{inches}
\]

Thus, the height of the scale model is **12 inches**.

The correct answer is **B. 12 inches**.

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Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. If the scale were changed to 1 inch representing 20 feet, what would be the new height of the scale model?
2. How would the scale model change if the height of the stadium were 240 feet instead of 180 feet?
3. What is the ratio of the height of the model to the actual stadium in simplest form?
4. If the scale model's height were 24 inches, what would be the actual height of the stadium?
5. How many inches would 90 feet of the actual stadium represent in the scale model?

**Tip**: Always make sure to keep units consistent when setting up proportions in scale problems!

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet. What is the height of the scale model in inches? A. 3 in. B. 12 in. C. 60 in. D. 105 in.

Solve a proportion problem involving scale models, where 2 inches represent 30 feet, and the height of the sports stadium is 180 feet. Learn how to calculate the height of the scale model using simple proportionality, suitable for students in Grades 6-8.

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