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EXAMPLE 2 Finding a Dimension on a Scale Model
White House
There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1 : 25. The height of the main building of the White House is 85 feet. Find this height on the model.
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EXAMPLE 2
125
h85=
1 85 = 25 h
3.4 = h
scale model
building
Cross products property
Divide each side by 25.
The height of the main building of the model is 3.4 feet.
ANSWER
SOLUTION
Write and solve a proportion to find the height, h, of the main building of the model of the White House.
Finding a Dimension on a Scale Model
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GUIDED PRACTICE for Example 2
2. Eiffel Tower
The model of the Eiffel Tower in Tobu World Square is 12 meters high. Use the scale factor of 1 : 25 in Example 2 to estimate the height of the actual Eiffel Tower.
about 300 m.ANSWER
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GUIDED PRACTICE
3. Carpenter Ants
A museum of natural history is making a scale model of a carpenter ant. The scale used is 12.5 cm : 1 mm. If the actual length of the ant is 6.4 mm, what is the length of the model?
80 cm.ANSWER
for Example 2