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A submarine is cruising at a depth of 
-50m relative to the surface of the ocean. It dives to 
-110m to avoid sonar detection.
What was the submarine's change in altitude?
m

A submarine is cruising at a depth of 50 m -50 \mathrm{~m} relative to the surface of the ocean. It dives to 110 m -110 \mathrm{~m} to avoid sonar detection.\newlineWhat was the submarine's change in altitude?\newlinem

Full solution

Q. A submarine is cruising at a depth of 50 m -50 \mathrm{~m} relative to the surface of the ocean. It dives to 110 m -110 \mathrm{~m} to avoid sonar detection.\newlineWhat was the submarine's change in altitude?\newlinem
  1. Identify positions: Identify the initial and final positions of the submarine.\newlineInitial position: 50m-50\,\text{m} (above the reference point, which is the surface of the ocean)\newlineFinal position: 110m-110\,\text{m} (below the reference point)\newlineTo find the change in altitude, we need to calculate the difference between the final position and the initial position.
  2. Calculate change: Calculate the change in altitude.\newlineChange in altitude = Final position - Initial position\newlineChange in altitude = (110m)(50m)(-110\,\text{m}) - (-50\,\text{m})\newlineWhen subtracting a negative number, it is equivalent to adding the absolute value of that number.\newlineChange in altitude = (110m)+50m(-110\,\text{m}) + 50\,\text{m}
  3. Perform calculation: Perform the calculation to find the change in altitude. \newlineChange in altitude = 110m+50m-110\,\text{m} + 50\,\text{m}\newlineChange in altitude = 60m-60\,\text{m}\newlineThe negative sign indicates that the change is a descent (a deeper dive).

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