Question

Imagine that you are building a scale model of the Earth and the Moon. You are going to use a 12-inch basketball to represent the Earth and a 3-inch tennis ball to represent the Moon. To maintain the proper distance scale, about how far from the surface of the basketball should the tennis ball be placed?

Answer 1

About 332.375 to 362.35 inches

Step-by-step explanation:

Diameter of earth: approx. 12750km

Diameter of moon: approx. 3476km

Earth scale: 12750/12 = 1062.5

Moon scale: 3475/3 = 1158.33

Therefore, the proportional value that is used is in between 1062.5 - 1158.33

Distance from moon to earth: approx. 385000

Lower boundary: 385000/1158.33 = 332.375

Upper boundary: 385000/1062.5 = 362.35

To maintain the proper distance scale, the distance should be between 332.375 to 362.35

Take the nearest inch, the most appropriate distance is 3 inches