Question
The scale model of a skyscraper being built is 4.2 feet tall.
When it is finished, the skyscraper will be 525 meters tall. What scale
was used to make the model?
When it is finished, the skyscraper will be 525 meters tall. What scale
was used to make the model?
Answers
GPT 3.5
To find the scale used to make the model, we need to determine the ratio between the height of the model and the height of the actual skyscraper.
First, we need to convert the height of the actual skyscraper to feet. Since 1 meter is approximately equal to 3.281 feet, the height of the skyscraper in feet is:
525 meters * 3.281 feet/meter ≈ 1719.825 feet
Now, we can calculate the scale by dividing the height of the skyscraper by the height of the model:
Scale = Height of Skyscraper / Height of Model
Scale = 1719.825 feet / 4.2 feet ≈ 409.0
Therefore, the scale used to make the model is approximately 1:409.
First, we need to convert the height of the actual skyscraper to feet. Since 1 meter is approximately equal to 3.281 feet, the height of the skyscraper in feet is:
525 meters * 3.281 feet/meter ≈ 1719.825 feet
Now, we can calculate the scale by dividing the height of the skyscraper by the height of the model:
Scale = Height of Skyscraper / Height of Model
Scale = 1719.825 feet / 4.2 feet ≈ 409.0
Therefore, the scale used to make the model is approximately 1:409.
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