Final answer:
The statement that Mount Everest is 8,800 meters high, correct to the nearest hundred meters, is false. The official height is 8,848 meters or approximately 29,029 feet. The height in kilometers, calculated by dividing 29,028 feet by the conversion factor, is approximately 8.848 kilometers.
Step-by-step explanation:
The height of Mount Everest is commonly rounded to 8,848 meters, which is the value officially recognized by China and Nepal. When converting this height to feet using the conversion factor 1 meter = 3.281 feet, we get approximately 29,029 feet.
Answering the question about the height being 8,800 meters correct to the nearest hundred meters, we can say that the statement is false since the standard recognized height is 8,848 meters, and if it were correct to the nearest hundred, it would be rounded to 8,800 meters, which is not the case.
To convert 29,028 feet to kilometers, knowing that 1 kilometer equals 3,281 feet, the calculation would be as follows:
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- Divide the height in feet by the conversion factor: 29,028 ft ÷ 3,281 ft/km.
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- The result is approximately 8.848 kilometers, which is the height of Mount Everest in kilometers.