Answer:
The scale drawing is 1 centimeter to 50 meters ⇒ answer E
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- The height of the empire state building is about 1450 feet long and
400 feet wide
- Andre wants to make a scale drawing of the front view of it on an
8 1/2 inches by 11 inches piece of paper
- We need to select one of these scales that we 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
- For scale A , B , and D the scaled image will not fit the page
- For scale C and F the drawing will be very small because 1 mile
is 5280 feet and 1 kilometer is 3280.84 feet
- E is most appropriate because <u><em>1 meter is 3.28084 feet</em></u>, then the
<u><em>height of the empire state is 442 m</em></u> dividing by 50 m gives about
<u><em>8.8 cm</em></u> and the <u><em>height of the paper is 11 inches which is about 28 cm</em></u>
and the <u><em>width of the empire state is about 122 m</em></u> dividing by 50 m
gives about <u><em>2.5 cm</em></u> and the <u><em>width of the paper is 8 1/2 inches which</em></u>
<em> </em><u><em>is about 22 cm </em></u>then the drawing will be appropriate for drawing
∴ The scale drawing is 1 centimeter to 50 meters