Answer :
To solve this problem, we need to determine several things:
1. Whether the current sea level of the Maldives at 72 inches is more or less than 6.84 meters.
2. The future sea level height of the Maldives if Greenland's ice completely melts, which would raise the sea level by 23 feet.
### Step-by-Step Solution:
1. Current Height Conversion:
- We start by converting the current height of the Maldives from inches to meters.
- We know the Maldives is currently 72 inches above sea level.
- The conversion factor given is [tex]\( 1 \text{ meter} = 39.4 \text{ inches} \)[/tex].
[tex]\[
\text{Current Height in Meters} = \frac{\text{Current Height in Inches}}{\text{Conversion Factor}} = \frac{72 \text{ inches}}{39.4 \text{ inches/meter}} \approx 1.8274 \text{ meters}
\][/tex]
2. Comparison to 6.84 meters:
- Now, we compare the current height in meters to 6.84 meters.
[tex]\[
1.8274 \text{ meters} \text{ is less than } 6.84 \text{ meters}
\][/tex]
3. Future Sea Level After Greenland's Ice Melts:
- If Greenland's ice melts, it would raise the sea level by 23 feet.
- We need to convert this sea level rise from feet to inches because our initial height is also in inches.
- There are 12 inches in a foot.
[tex]\[
\text{Greenland Melting Effect in Inches} = 23 \text{ feet} \times 12 \text{ inches/foot} = 276 \text{ inches}
\][/tex]
4. Future Height Calculation:
- We subtract the melting effect from the current height.
[tex]\[
\text{Future Height in Inches} = \text{Current Height in Inches} - \text{Greenland Melting Effect in Inches} = 72 \text{ inches} - 276 \text{ inches} = -204 \text{ inches}
\][/tex]
- Convert the future height back to meters.
[tex]\[
\text{Future Height in Meters} = \frac{\text{Future Height in Inches}}{39.4 \text{ inches/meter}} = \frac{-204 \text{ inches}}{39.4 \text{ inches/meter}} \approx -5.1777 \text{ meters}
\][/tex]
### Conclusion:
- The current height of the Maldives above sea level is approximately 1.83 meters.
- This is less than 6.84 meters.
- If Greenland’s ice melted completely, the Maldives would be about -5.18 meters below sea level, indicating they would be submerged.
1. Whether the current sea level of the Maldives at 72 inches is more or less than 6.84 meters.
2. The future sea level height of the Maldives if Greenland's ice completely melts, which would raise the sea level by 23 feet.
### Step-by-Step Solution:
1. Current Height Conversion:
- We start by converting the current height of the Maldives from inches to meters.
- We know the Maldives is currently 72 inches above sea level.
- The conversion factor given is [tex]\( 1 \text{ meter} = 39.4 \text{ inches} \)[/tex].
[tex]\[
\text{Current Height in Meters} = \frac{\text{Current Height in Inches}}{\text{Conversion Factor}} = \frac{72 \text{ inches}}{39.4 \text{ inches/meter}} \approx 1.8274 \text{ meters}
\][/tex]
2. Comparison to 6.84 meters:
- Now, we compare the current height in meters to 6.84 meters.
[tex]\[
1.8274 \text{ meters} \text{ is less than } 6.84 \text{ meters}
\][/tex]
3. Future Sea Level After Greenland's Ice Melts:
- If Greenland's ice melts, it would raise the sea level by 23 feet.
- We need to convert this sea level rise from feet to inches because our initial height is also in inches.
- There are 12 inches in a foot.
[tex]\[
\text{Greenland Melting Effect in Inches} = 23 \text{ feet} \times 12 \text{ inches/foot} = 276 \text{ inches}
\][/tex]
4. Future Height Calculation:
- We subtract the melting effect from the current height.
[tex]\[
\text{Future Height in Inches} = \text{Current Height in Inches} - \text{Greenland Melting Effect in Inches} = 72 \text{ inches} - 276 \text{ inches} = -204 \text{ inches}
\][/tex]
- Convert the future height back to meters.
[tex]\[
\text{Future Height in Meters} = \frac{\text{Future Height in Inches}}{39.4 \text{ inches/meter}} = \frac{-204 \text{ inches}}{39.4 \text{ inches/meter}} \approx -5.1777 \text{ meters}
\][/tex]
### Conclusion:
- The current height of the Maldives above sea level is approximately 1.83 meters.
- This is less than 6.84 meters.
- If Greenland’s ice melted completely, the Maldives would be about -5.18 meters below sea level, indicating they would be submerged.