Question

An architect is modeling a tower that is 460 ft high and 320 ft wide. She designs the model so that the similarity ratio of the model to the tower is- 1-900 What is the height and the width of the model in inches

Answer 1

the height of the model is approximately 5.8667 inches and the width of the model is approximately 4.2667 inches.

Explanation:

We can use the similarity ratio to set up a proportion and solve for the height and width of the model in inches.

Let x be the height of the model in inches and y be the width of the model in inches.

The similarity ratio of the model to the tower is 1:900, which means that the height of the model is 1/900 times the height of the tower, and the width of the model is 1/900 times the width of the tower. We can write this as:

x/460 = 1/900

y/320 = 1/900

To solve for x and y, we can cross-multiply and simplify:

x = 460/900 * 12 inches per foot = 5.8667 inches (rounded to 4 decimal places)

y = 320/900 * 12 inches per foot = 4.2667 inches (rounded to 4 decimal places)

Therefore, the height of the model is approximately 5.8667 inches and the width of the model is approximately 4.2667 inches.