Questions: Which is a better estimate for the height of a tall mountain? 3 yards 3 miles

Which is a better estimate for the height of a tall mountain? 3 yards 3 miles
Transcript text: Which is a better estimate for the height of a tall mountain? 3 yards 3 miles
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Solution

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Solution Steps

Step 1: Understand the Context

To determine which estimate is more appropriate for the height of a tall mountain, we need to consider typical mountain heights. Tall mountains, such as those in the Himalayas or the Rockies, are often measured in thousands of feet or meters.

Step 2: Convert Units

Let's convert the given estimates into a common unit for easier comparison.

  • 3 yards is equivalent to \(3 \times 3 = 9\) feet.
  • 3 miles is equivalent to \(3 \times 5280 = 15840\) feet.
Step 3: Compare Estimates

Now, compare the two estimates:

  • 9 feet (from 3 yards) is extremely short for a tall mountain.
  • 15840 feet (from 3 miles) is a more reasonable estimate for the height of a tall mountain, as many tall mountains exceed 10,000 feet.

Final Answer

The better estimate for the height of a tall mountain is \(\boxed{3 \text{ miles}}\).

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