To determine the height of the scale model in centimeters, we can set up a proportion based on the given scale: 3 centimeters represents 45 meters.

Let $x$ be the height of the scale model in centimeters. The proportion is:

$\frac{3}{45} = \frac{x}{360}$

Cross-multiply to solve for $x$:

$3 \times 360 = 45 \times x$

$1080 = 45x$

Now, divide both sides by 45:

$x = \frac{1080}{45} = 24$

Thus, the height of the scale model is 24 centimeters.

Do you have any questions or want further details? Here are some related questions:

1. How do you determine the scale ratio in other similar problems?
2. If the model height was 30 cm, what would be the skyscraper's actual height?
3. What if the scale was 1 cm = 30 meters? How would the model's height change?
4. How can you convert between different units (e.g., cm to inches) when working with scale models?
5. What other real-world objects could benefit from using a scale model?

Tip: Always check that both parts of a scale problem use consistent units before solving.