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Patrick starts hiking at an elevation of -418 feet he ascends to the elevation of 387 feet and then descends to an elevation of 94 feet higher than where he became the descends another 132 feet what is the elevation where he stops hiking

User FangQ
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1 Answer

4 votes

Final answer:

To find the final elevation where he stops hiking, we can add the gains and subtract the losses from the initial elevation. The final elevation is -226 feet.

Step-by-step explanation:

To find the elevation where he stops hiking, we can follow the steps:

  1. Start with the initial elevation of -418 feet.
  2. Ascend to an elevation of 387 feet, which is a total gain of 805 feet.
  3. Descend to an elevation of 94 feet higher than where he started, which is a loss of 481 feet.
  4. Descend another 132 feet, which is an additional loss of 132 feet.

To determine the final elevation, we can add the gains and subtract the losses from the initial elevation:

  • Initial elevation: -418 feet
  • Total gains: 805 feet
  • Total losses: 481 feet + 132 feet = 613 feet

Final elevation = Initial elevation + Total gains - Total losses

Final elevation = -418 feet + 805 feet - 613 feet

Final elevation = -418 feet + 192 feet

Final elevation = -226 feet

Therefore, the elevation where he stops hiking is -226 feet.

User Andreas Koch
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