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A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 45 minutes. Then, she ascends 112.2 feet. What is her current depth?

User JimmyNJ
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Final answer:

The diver's current depth is 342.8 feet below sea level after descending further from the initial 140-foot depth and then ascending 112.2 feet.

Step-by-step explanation:

The student's question involves determining the diver's current depth after a series of movements below sea level. Starting at 140 feet below sea level, the diver descends at a rate of 7 feet per minute for 45 minutes, resulting in an additional descent of 315 feet (7 feet/min * 45 min = 315 feet). We then add this to the initial 140 feet for a total descent of 455 feet below sea level. Following this, the diver ascends by 112.2 feet. To find the current depth, we subtract the ascent from the total descent (455 feet - 112.2 feet).

The calculation would be:

  • Initial depth: 140 feet below sea level
  • Descent: 7 feet/minute * 45 minutes = 315 feet
  • Total descent: 140 feet + 315 feet = 455 feet below sea level
  • Ascend: 455 feet - 112.2 feet = 342.8 feet below sea level

Therefore, the diver's current depth is 342.8 feet below sea level.

User Yogie
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