The question asks about the height of a scale model of a sports stadium, given the scale of 2 inches representing 30 feet, and the actual height of the stadium being 180 feet.

Solution:

1. Find the ratio of the scale:

   • 2 inches represents 30 feet.
   • Therefore, 1 inch represents $\frac{30}{2} = 15$ feet.

2. Determine the height of the stadium in model terms:

   • The actual height of the stadium is 180 feet.
   • To find the model height in inches, divide the real height by the number of feet represented by 1 inch: $\text{Model height} = \frac{180 \text{ feet}}{15 \text{ feet per inch}} = 12 \text{ inches}.$

Thus, the height of the scale model is 12 inches, corresponding to Option B.

Would you like more details on any of the steps?

Here are some related questions:

1. What if the stadium were 300 feet tall, how would the scale model height change?
2. How would the scale change if 1 inch represented 10 feet instead of 15 feet?
3. How can we reverse the process to find the real height of a stadium from a model's height?
4. Can this scale be used for other dimensions like width or length?
5. What other units of measurement could be used for models?

Tip: Always check the relationship between model and real-world sizes using ratios to make accurate conversions.