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.
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

Answer 1

The scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters. (Correct choice: E)

What scale factor is the most appropriate to make an scale drawing of the Emipre State Building?

Scale factor are useful resources to make representations of huge and diminute representations of entire systems based on the application of length ratios defined below:

d / d' = r            (1)

Where:

• r - Length ratio, in feet per inch
• d - Real length, in feet
• d' - Scale length, in inches

Now we find the minimum reduction scale to fit the building in the paper.

Width

r' = 400 ft / 8.5 in

r' = 47.058 ft / in

Height

r' = 1,450 ft / 11 in

r' = 131.819 ft / in

The minimum reduction scale to fit the building in the paper is 131.819 ft / in (approx. 15.818 m / cm, that is 1 centimeter to 15.818 meters), that is, 1 centimeter to 131.819 feet. Then, the scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters.

To learn more on scale factors: https://brainly.com/question/22312172

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