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 height of the actual Statue of Liberty? Simplify if possible.
show work.
First, we need to convert both measurements to the same units. Let's convert 305 feet to inches:
305 feet x 12 inches/foot = 3660 inches
Now we can find the ratio:
60 inches / 3660 inches = 1/61
So the ratio of the height of the model to the height of the actual Statue of Liberty is 1/61. It cannot be simplified any further.
To find the ratio of the height of the model to the height of the actual Statue of Liberty, we need to convert the heights to the same unit of measurement.
First, let's convert the height of the actual Statue of Liberty from feet to inches. Since 1 foot is equal to 12 inches, we can multiply the height of the statue by 12:
305 feet * 12 inches/foot = 3660 inches
Now that we have both measurements in inches, we can calculate the ratio:
Ratio = Height of model / Height of actual Statue of Liberty
= 60 inches / 3660 inches
Now, simplify the ratio if possible. In this case, both the numerator and denominator have a common factor of 60. Hence, we can divide both by 60 to simplify:
Ratio = (60 inches / 60) / (3660 inches / 60)
= 1 inch / 61 inches
The simplified ratio of the height of the model to the height of the actual Statue of Liberty is 1:61.
To find the ratio of the height of the model to the height of the actual Statue of Liberty, we need to convert the measurements to the same unit. Let's convert the height of the statue to inches.
Since the Statue of Liberty is 305 feet tall, we can multiply this by 12 to convert it to inches:
305 feet * 12 inches/foot = 3660 inches
Now that we have both measurements in inches, we can find the ratio:
Ratio = Height of the model / Height of the Statue of Liberty
Ratio = 60 inches / 3660 inches
To simplify this ratio, we can divide both numerator and denominator by 60:
Ratio = (60 inches / 3660 inches) รท (60 inches / 60 inches)
Simplifying further:
Ratio = 1 / 61
Therefore, the ratio of the height of the model to the height of the actual Statue of Liberty is 1:61.