Answer :

To find out by how much the water level rose from [tex]-2\, \text{m}[/tex] to [tex]1.5\, \text{m}[/tex], we need to calculate the difference between these two levels.

Here's how we can solve this step-by-step:

  1. Understand the Initial and Final Levels:

    • The initial water level is at [tex]-2\, \text{m}[/tex] or 2 meters below a reference point (like sea level).
    • The final water level rises to [tex]1.5\, \text{m}[/tex] above this reference point.

  2. Determine the Change in Water Level:

    • To find the change, subtract the initial water level from the final water level:
      [tex]ext{Change in water level} = 1.5\, \text{m} - (-2\, \text{m})[/tex]
    • Notice that subtracting a negative number is the same as adding its absolute value. So this becomes:
      [tex]ext{Change in water level} = 1.5\, \text{m} + 2\, \text{m} = 3.5\, \text{m}[/tex]

  3. Conclusion:

    • The water level rose by [tex]3.5\, \text{m}[/tex].

In summary, by calculating the difference between the final and initial water levels, we find that the water level rose by 3.5 meters.

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