The Statue of liberty is 305 feet tall. A model of the statue is 60 inches tall. What is the ratio of the height of the model to the actual statue of liberty? Simplify, if possible.
60 in = 5 ft, so
5/305 = 1/61
To find the ratio of the height of the model to the actual Statue of Liberty, we need to convert both measurements to the same unit. Let's convert the height of the statue to inches since the height of the model is already in inches.
The Statue of Liberty is 305 feet tall, and there are 12 inches in a foot. So, to convert feet to inches, we can multiply 305 by 12:
305 feet * 12 inches/foot = 3660 inches
Now that we have both measurements in inches, we can calculate the ratio. The height of the model is given as 60 inches. The ratio is the height of the model to the height of the Statue of Liberty, so we can express it as follows:
60 inches : 3660 inches
To simplify the ratio, we can divide both sides by the greatest common divisor (GCD) of 60 and 3660, which is 60:
60 inches / 60 inches : 3660 inches / 60 inches
This simplifies to:
1 : 61
Therefore, the ratio of the height of the model to the actual Statue of Liberty is 1:61.