Final answer:
The height ratio of the model to the actual statue is 1:32, after converting the actual statue's height to inches (which is 40 inches) and comparing it to the model's height (1 1/4 inches or 5/4 inches).
Step-by-step explanation:
To find the ratio of the height of the model to the height of the actual statue, we'll need to express both heights in the same units before comparing them. The model is 1 1/4 inches tall, and the actual statue is 3 1/3 feet tall. First, we convert the actual statue's height from feet to inches, since there are 12 inches in a foot:
Converting the actual statue's height to inches:
3 1/3 feet = 3 + 1/3 feet
= (3 × 12) inches + (1/3 × 12) inches
= 36 inches + 4 inches
= 40 inches.
Finding the ratio in simplest form:
Model height (inches) : Actual statue height (inches) = 1 1/4 inches : 40 inches
= 5/4 inches : 40 inches
= 1 : 32.
The simplest form for the ratio of the height of the model to the height of the actual statue is 1:32.