The Empire State Building in New York City is 1,168 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire State Building?
To find the ratio of the height of the model to the actual height of the Empire State Building, we need to convert the measurements to the same units.
1 foot is equal to 12 inches, so the actual height of the Empire State Building is 1,168 feet * 12 inches = 14,016 inches.
The ratio of the height of the model to the actual height of the Empire State Building is:
24 inches (height of model) / 14,016 inches (height of Empire State Building) = 1/584
Therefore, the ratio of the height of the model to the height of the actual Empire State Building is 1:584.