Manday read that the arm of the Statue of Liberty is 42 ft long. She would like to know how long the Statue of Liberty’s nose is. How would you advise her to proceed?

Measure her own arm

measure her own nose

Liberty nose/Manday nose = liberty arm/Manday arm
or
liberty nose = liberty arm * manday nose/Manday arm

I'd advise her to check the measurements in this site.

http://www.nps.gov/archive/stli/prod02.htm

To find out the length of the Statue of Liberty's nose, Manday can use a proportion to compare the arm length to the nose length. Here's how she can proceed:

1. Start by setting up a proportion using the given information. Let's call the length of the nose "x":
42 ft (arm length) = x ft (nose length)

2. To solve the proportion, Manday needs to find the value of "x". She can do this by cross-multiplying. Multiply 42 by "x" and set it equal to 1 times "42 ft":
42x = 1 * 42 ft

3. Simplify the equation by multiplying:
42x = 42 ft

4. To isolate the variable "x", divide both sides of the equation by 42:
x = 42 ft / 42

5. Calculate the final answer:
x = 1 ft

Therefore, the length of the Statue of Liberty's nose is 1 ft.