First, we had to measure both the moon and the Earth before moving on to anything else. Not being able to use rulers, we used the next best thing: our phones and then checking the internet to see how long our phones were. After finding out the Iphone 5 has a length of about 5 inches, we used that information to see how much the Earth's length was and the moon's length was. After using our phones to find the length of the model sizes, we converted the actual length of the Earth and moon to inches to make the units the same in our proportions. We then used the proportions to figure out what this enormous amount of inches was in relation to the size of our model Earth and Moon. Wanting to be exact, we measured my ipad and used that to measure the length between the Earth and Moon in inches.
This is the length we came up with (about 12.5 Feet):
Here is the work we did to calculate the length: