The Seattle Space Needle is 604 feet tall. A model of the building is 48 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle? Express as a ratio #:# without spaces, and in reduced form.
The ratio of the height of the model to the height of the actual Space Needle can be calculated by dividing the height of the model by the height of the actual building:
48 inches (height of model) / 604 feet (height of actual Space Needle)
To compare the two heights in a common unit, we need to convert either inches to feet or feet to inches. Since there are 12 inches in a foot, we can convert the height of the model from inches to feet by dividing it by 12:
48 inches / 12 = 4 feet
Now we can calculate the ratio:
4 feet / 604 feet = 4:604
This ratio can be further reduced by dividing both numbers by 4:
4 ÷ 4 = 1
604 ÷ 4 = 151
Therefore, the ratio of the height of the model to the height of the actual Space Needle in reduced form is 1:151.