You made a model of the Space Needle in Seattle, Washington, for a report on architecture in the United States. You used a scale of 1 in 50 ft Your model is 12.1 inches tall. Estimate the actual height of the Space Needle.

The actual height of the Space Needle is 605 feet.

Step-by-step explanation:

Scaling

It's a proportional transformation that enlarges or diminishes objects. When modeling large objects, we shrink objects by a scale factor that is equal in all dimensions.

The resulting object is similar to the original.

The model of the Space Needle in Seattle, Washington is 12.1 inches tall and it's scaled as of 1 inch = 50 feet. The scaling factor is 50/1 = 50 feet/inch.

Thus, the actual height is 12.1 * 50 = 605 feet.

The actual height of the Space Needle is 605 feet.

21

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