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Geometry 10 Online
OpenStudy (anonymous):

1. The sears Tower in Chicago is 1,450 feet tall. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower? 1:725 725:1 12:725 725:12

OpenStudy (jdoe0001):

\(\bf 1450:24\quad ratio\implies \cfrac{1450}{24}\) simplify it by dividing both by 12, see what you get

OpenStudy (jdoe0001):

hmm actually it should be the other way around so \(\bf 1450:24\quad ratio\implies \cfrac{24}{1450}\)

OpenStudy (jdoe0001):

hmmm darn.... \(\bf 24:1450\quad ratio\implies \cfrac{24}{1450}\) simplify by dividing both by 12, see what you get

OpenStudy (anonymous):

I got 1:725

OpenStudy (jdoe0001):

that means \(\bf 24 \div 12 = 1?\)

OpenStudy (anonymous):

2

OpenStudy (jdoe0001):

actually, try instead dividing by 2

OpenStudy (jdoe0001):

right.... so 1:725 means \(\bf \cfrac{1}{725}\) which means that \(\bf 24\div 2 = 1?\)

OpenStudy (jdoe0001):

try \(\bf \cfrac{24\div 2}{1450\div 2} \)

OpenStudy (anonymous):

12/725

OpenStudy (anonymous):

12:725

OpenStudy (jdoe0001):

yeap

OpenStudy (anonymous):

Thank you!!!

OpenStudy (whpalmer4):

No! The ratio is 1:725 24 inches to 1450 feet 2 feet to 1450 feet \[2:1450 = 1:725\] If the scale ratio does not specify specific units, it is assumed that you are using the same units for both numbers. 12:725 is correct only if you specify that the 12 is in inches and the 725 in feet, such as 12":725'

OpenStudy (anonymous):

So I was right the first time. I said it was 1:725 the first time.

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