The ratio of the model's height to actual height of tower is 1:725
Step-by-step explanation:
Given
Actual height of Sears Tower = [tex]H_a[/tex] = 1450 feet
Height of Model = [tex]H_m[/tex] = 24 inches
We can divide the actual height by the model's height to find the scale
Let z be the ratio of the height of the model to the actual height
[tex]z = \frac{H_m}{H_a}\\z = \frac{24\ inches}{1450\ feet}\\z = \frac{12\ inches}{725\ feet}[/tex]
The ratio should be in same unit.
We know that
1 ft = 12 inches
Then
[tex]z = \frac{1}{725}\\z=> 1:725[/tex]
Hence,
The ratio of the model's height to actual height of tower is 1:725
Keywords: Ratios, models
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