To calculate the future height of Mount Everest and answer your questions, here are the steps:
- Current Height: 8849 meters
- Growth Rate: 5 cm/year, which is 0.05 meters/year.
1. Height in 2025
The current year referenced is 2023. To find out the height in 2025:
- Years until 2025 = 2025 - 2023 = 2 years
- Height increase = Growth Rate × Years = \(0.05 \text{ m/year} \times 2 \text{ years} = 0.1 \text{ m}\)
Now, add this to the current height:
- Future Height = Current Height + Height Increase
- Future Height = 8849 m + 0.1 m = 8849.1 m
2. Average Height in 2025
The average height of Mount Everest in 2025 would be the same as the height in 2025, which is 8849.1 meters.
3. Time to Reach 8850 m
To find how long it will take for Mount Everest to reach 8850 m from its current height of 8849 m:
- Height difference = 8850 m - 8849 m = 1 m
- Time = Height difference / Growth Rate = \(1 \text{ m} / 0.05 \text{ m/year} = 20 \text{ years}\)
4. Projected Year to Reach 8850 m
If it takes 20 years from 2023 to reach 8850 m:
- Year = 2023 + 20 years = 2043
Summary
- Height of Mount Everest in 2025: 8849.1 m
- Average height of Mount Everest in 2025: 8849.1 m
- Time to reach 8850 m: 20 years
- Projected year to reach 8850 m: 2043