Question

the empire state building in new york city is about 1,450 feet high (including the antenna at the top) and 400 feet wide. andre wants to make a scale drawing of the front view of the empire state building on an 8 1/2 -inch-by-11 -inch piece of paper. select a scale that you think is the most appropriate for the scale drawing. explain your reasoning. a. 1 inch to 1 foot b. 1 inch to 100 feet c. 1 inch to 1 mile d. 1 centimeter to 1 meter e. 1 centimeter to 50 meters f. 1 centimeter to 1 kilometer

Explanation:

Step1: Analyze option a

If 1 inch to 1 foot, for a 1450 - foot - high building, it would be 1450 inches high on paper which is much larger than 11 - inch paper height.

Step2: Analyze option b

If 1 inch to 100 feet, the height of the building on paper is $\frac{1450}{100}=14.5$ inches which is taller than 11 - inch paper height.

Step3: Analyze option c

1 mile = 5280 feet. If 1 inch to 1 mile, the building would be extremely small on paper.

Step4: Analyze option d

1 meter = 3.28 feet. 1450 feet is about $\frac{1450}{3.28}\approx442$ meters. If 1 centimeter to 1 meter, 442 meters would be 442 centimeters which is very large for the paper.

Step5: Analyze option e

1450 feet is about $\frac{1450}{3.28}\approx442$ meters. If 1 centimeter to 50 meters, the height of the building on paper is $\frac{442}{50}=8.84$ centimeters which can fit on the paper. Also, 400 feet is about $\frac{400}{3.28}\approx122$ meters, and on paper it would be $\frac{122}{50}=2.44$ centimeters which also fits.

Step6: Analyze option f

If 1 centimeter to 1 kilometer (1000 meters), the building would be extremely small on paper.

Answer:

e. 1 centimeter to 50 meters