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A scientist uses a submarine to study ocean life.

She begins at sea level, which is an elevation of o feet.
She travels down 16.7 feet.
She then ascends 12 feet.
Next, she descends a second time, 84.6 feet.

How many feet must she now rise to get back to sea level?
Answer: feet

A scientist uses a submarine to study ocean life.\newline- She begins at sea level, which is an elevation of o feet.\newline- She travels down 1616.77 feet.\newline- She then ascends 1212 feet.\newline- Next, she descends a second time, 8484.66 feet.\newlineHow many feet must she now rise to get back to sea level?\newlineAnswer: \squarefeet

Full solution

Q. A scientist uses a submarine to study ocean life.\newline- She begins at sea level, which is an elevation of o feet.\newline- She travels down 1616.77 feet.\newline- She then ascends 1212 feet.\newline- Next, she descends a second time, 8484.66 feet.\newlineHow many feet must she now rise to get back to sea level?\newlineAnswer: \squarefeet
  1. Determine initial descent: Determine the initial descent.\newlineThe scientist begins at sea level and descends 16.716.7 feet.\newlineInitial descent = 16.7-16.7 feet (negative because it's a descent)
  2. Calculate elevation after first ascent: Calculate the elevation after the first ascent.\newlineThe scientist ascends 1212 feet from the initial descent.\newlineElevation after ascent = Initial descent + Ascent\newlineElevation after ascent = 16.7-16.7 feet + 1212 feet\newlineElevation after ascent = 4.7-4.7 feet
  3. Determine elevation after second descent: Determine the elevation after the second descent.\newlineThe scientist descends an additional 84.684.6 feet after the first ascent.\newlineElevation after second descent = Elevation after ascent - Second descent\newlineElevation after second descent = 4.7-4.7 feet - 84.684.6 feet\newlineElevation after second descent = 89.3-89.3 feet
  4. Calculate total rise needed: Calculate the total rise needed to return to sea level.\newlineTo return to sea level, the scientist must rise by the same amount as the current negative elevation.\newlineRise needed to reach sea level = (Elevation after second descent) - (\text{Elevation after second descent}) \newlineRise needed to reach sea level = (89.3 feet) - (-89.3 \text{ feet}) \newlineRise needed to reach sea level = 89.3 feet 89.3 \text{ feet}

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