We know that 3 centimeters represents 45 meters in the scale model.

To find the height of the model corresponding to 360 meters, we can set up a proportion:

$\frac{3 \, \text{cm}}{45 \, \text{m}} = \frac{x \, \text{cm}}{360 \, \text{m}}$

Now, solve for $x$:

$x = \frac{3 \times 360}{45} = 24 \, \text{cm}$

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

Would you like further details on this? Here are some related questions:

1. How would the model height change if the skyscraper were taller?
2. What would the model height be for a 500-meter skyscraper using the same scale?
3. If the scale was changed to 1 cm representing 10 meters, what would the model height be?
4. How does the concept of a scale model help in architectural planning?
5. What is the actual height of a 1-meter model using this scale?

Tip: Always set up a proportion to solve problems involving scale models.