Question

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-foot

model.
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​

Answer 1

Cesar should use a scale of approximately 0.018 feet per inch for his 1.5-foot tall model of the Eiffel Tower, which is rounded to 0.018 to the nearest tenth of a foot.

Step-by-step explanation:

Cesar is making a model of the Eiffel Tower and needs to determine the appropriate scale to use for his 1.5-foot tall model. First, we need to convert the actual height of the Eiffel Tower from feet to inches since our model will be measured in inches. There are 12 inches in a foot, so the tower's height in inches is 984 feet × 12 inches/foot = 11,808 inches.

The scale ratio is then determined by dividing the model's height in inches by the actual height in inches. Therefore, the scale is 1.5 feet (or 18 inches) divided by 11,808 inches, which equals approximately 0.0015241090146750523 when not rounded.

But since we need to find the scale in inches to feet and round to the nearest tenth of a foot, we need to convert this ratio by multiplying by 12 which gives us approximately 0.0182893081761006264. Rounding to the nearest tenth gives us a scale of 0.018 feet per inch.

Answer 2

See below

Step-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 1.5

1.5 M / 1.5 = 984 O / 1.5

1 M = 656 O

So, 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 O

If we divide both sides by 12:

m = 656/12 O

m = 56.67

So, 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