Final answer:
The ratio of the height of the model to the height of the actual statue, once converted to the same units, is 1:30. The actual statue at 3 3/4 feet tall is equivalent to 45 inches, and the model is 1 1/2 inches tall.
Step-by-step explanation:
To find the ratio of the height of the model to the actual statue, we must first make sure both measurements are in the same units. Since the model is given in inches, we will convert the actual statue's height from feet to inches. There are 12 inches in a foot, so:
3 3/4 feet = 3.75 feet x 12 inches/foot = 45 inches.
Now we can set up the ratio of the model to the actual statue:
1 1/2 inches / 45 inches.
First, convert 1 1/2 inches to an improper fraction, which is (1 x 2 + 1)/2 = 3/2 inches. Our ratio is thus:
(3/2) inches / 45 inches = 3/90 = 1/30.
The ratio in simplest form is 1:30.