Quick
Answer:
The actual length
of the nose is about 4 feet, 6 inches. 

Complete
Solution:
There are several ways to think about this
problem. One way is to assume that approximately the same
relationship holds between your dimensions and those of
the Statue of Liberty. If your nose is 3” long and
the length of your arm is 24” long, then the length
of your nose is 3/24, or 1/8, of the length of your arm.
If your nose is 1/8 of the length of your arm, then the
nose of the Statue of Liberty might be 1/8 the length
of her arm. In general, the length of her nose would be:
Another approach is to assume that the Statue
of Liberty is similar in scale to an average person. In
this case, the lengths of corresponding body parts should
have the same ratio. (To estimate the lengths for an ”average
person,” take a group of people, measure them, and
find the average measures. Answers will vary depending
on measurement errors and what was used as an average.)
Using this method, the relationship would be:
For the example above:
so then:

