To find the height of the scale model, we use the given scale: 2 inches represents 30 feet. The real height of the sports stadium is 180 feet.

We can set up a proportion based on the scale:

$\frac{2 \text{ inches}}{30 \text{ feet}} = \frac{x \text{ inches}}{180 \text{ feet}}$

Now, solve for $x$:

$x = \frac{2 \times 180}{30} = \frac{360}{30} = 12 \text{ inches}$

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

Would you like further details or have any questions?

Here are 5 related questions for practice:

1. If 2 inches represents 40 feet, what would be the height of a 240-foot building in the scale model?
2. How long would a 300-foot stadium be in the same scale model?
3. What is the scale factor in feet per inch for this model?
4. If the model's height is increased to 18 inches, what is the new real-life height of the stadium?
5. How would the width of a 500-foot stadium translate into inches using this same scale?

Tip: Always use proportions to solve scale model problems, making sure both sides of the proportion represent the same units.