A class project requires students to build models of important landmarks around the United States. Teresa and Scott created a 25 in. tall model of the Empire State Building. The actual Empire State Building is 1,250 ft. tall (base to roof). They want to maintain the same scale on their next landmark. How tall would their model of Mount Rushmore be if the actual height of Mount Rushmore is 500 ft.?
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Ответ:
To maintain the same scale, we need to calculate the ratio of the height of the model to the actual height of the Empire State Building, and then apply that ratio to the actual height of Mount Rushmore to find the height of the model of Mount Rushmore.
The ratio of the height of the model of the Empire State Building to the actual height of the Empire State Building is:
25 in. / 1,250 ft. = 0.02 in./ft.
To find the height of the model of Mount Rushmore, we can multiply the actual height of Mount Rushmore by this ratio:
Height of model of Mount Rushmore = Actual height of Mount Rushmore x Ratio
Height of model of Mount Rushmore = 500 ft. x 0.02 in./ft.
Height of model of Mount Rushmore = 10 in.
Therefore, Teresa and Scott's model of Mount Rushmore would be 10 inches tall if they maintain the same scale they used for the Empire State Building model.