The space needle is 605 feet tall. A model of the building is 15 inches tall. What is the ratio of the height of the model to the height of the actual space needle?
a. 484 :12
b. 1:484
c. 484:1
d. 12:484
To find the ratio of the height of the model to the height of the actual space needle, we can convert both heights to the same unit.
Since the height of the actual space needle is given in feet and the height of the model is given in inches, we need to convert one of the measurements to the other unit.
To convert feet to inches, we know that 1 foot is equal to 12 inches.
So, the height of the actual space needle in inches is 605 feet * 12 inches/foot = <<605*12=7260>>7260 inches.
Now that both heights are in inches, we can find the ratio of the two measurements.
The ratio is 15 inches (model height) : 7260 inches (actual height).
Simplifying the ratio by dividing both sides by 15, we get 1 : 484.
Therefore, the ratio of the height of the model to the height of the actual space needle is 1 : 484.
Answer: b. 1:484