Q:

Cesar is making a model of the Eiffel Tower. The height of the tower is 984 feet, and Cesar wants to make a 1.5-footmodel.What scale should Cesar use? Find the scale in inches to feet. Round your answer to the nearest tenth of a foot.1 inch =feet​

Accepted Solution

A:
Answer:See belowStep-by-step explanation:First, lets see how many feet of the original Eiffel tower (O) are represented in 1 foot of Caesar's tower model (M). We know that 1.5 foot is equal to 984 feet of the original, so we can say:1.5 M = 984 O, this is our equivalence.Now divide both sides by 1.51.5 M / 1.5 = 984 O / 1.51 M = 656 OSo, 1 foot of Cesar's Model is 684 feet of the original tower. We also know that 1 foot is equal to 12 inches, so we can say that 12 inches of Cesar Model (12 m) are equivalent to 656 feet of the original tower. So:12 m = 656 OIf we divide both sides by 12:m = 656/12 O m = 56.67So, 1 inch in Cesar's model represent 56.67 feet of the original Eiffel Tower. Lets verify our result by multiplying 56.67 by 12 to get 1 feet and then by 1.5 to get the measure of the model:56.67*12*1.5 = 984 feet, which is the height of the Eiffel tower.Scale: 1 inch = 56.67 feet