Question

The empire state building in nyc is about 1,500 feet tall. a scale model shows the building to be 5 inches tall. how many inches would a 600 foot building be in the model?

Answer 1

To find the model height of a 600-foot building using the same scale as a 5-inch model of the 1,500-foot tall Empire State Building, set up a proportion and solve for the unknown height. The resulting model height is 2 inches.

Step-by-step explanation:

The question at hand involves a scale model and requires calculating the model height of a building given its real-world height. In the example, the Empire State Building in New York City, which stands 1,500 feet tall, is represented by a 5-inch tall model. To determine the height of a 600-foot building on the same scale, we can set up a proportion as follows:

• Scale of Empire State Building model: 1,500ft (actual) / 5in (model)
• We want to find the model height for a 600ft building, so let's call that height 'x' inches.

We create the proportion: 1,500ft/5in = 600ft/x in. We then cross multiply to solve for x:

• (1,500 * x) = (5 * 600)
• (1,500 * x) = 3,000
• x = 3,000 / 1,500
• x = 2

Therefore, the height of the 600-foot building on the model scale would be 2 inches.