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Question 1177676: Students in University of the Philippines built a replica of the NCR on a 45.5-ft diameter globe using a scale of 1: 2,000,000. About how tall is the Mount Everest on the model?
(Note: Mount Everest stands 29,000 feet approximately).
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Let's solve this problem step-by-step.
**1. Understand the Scale**
The scale is 1:2,000,000. This means that 1 unit on the model represents 2,000,000 units in reality.
**2. Convert Mount Everest's Height to the Model's Scale**
* Mount Everest's height: 29,000 feet
* Scale: 1:2,000,000
To find the height on the model, we need to divide the actual height by the scale factor:
* Model height (in feet) = 29,000 feet / 2,000,000
* Model height = 0.0145 feet
**3. Convert Model Height to Inches**
Since it's more practical to express small heights in inches, we'll convert feet to inches:
* 1 foot = 12 inches
* Model height (in inches) = 0.0145 feet * 12 inches/foot
* Model height ≈ 0.174 inches
**4. Interpret the Result**
The height of Mount Everest on the model is approximately 0.174 inches.
**Therefore, Mount Everest is about 0.174 inches tall on the model.**
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