Question

Lake Profondo has a depth of 84 feet. Lake Segundo is 5/6
as deep. What is the elevation at the bottom of Lake Segundo? (Remember, the elevation is below sea level. Account for this in your answer.)(1 point)
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1 answer

To find the depth of Lake Segundo, we first need to calculate it as a fraction of the depth of Lake Profondo.

Given:

  • Depth of Lake Profondo = 84 feet
  • Lake Segundo is \( \frac{5}{6} \) as deep as Lake Profondo.

Now, we calculate the depth of Lake Segundo:

\[ \text{Depth of Lake Segundo} = \frac{5}{6} \times 84 \]

Calculating that:

\[ \frac{5}{6} \times 84 = \frac{5 \times 84}{6} = \frac{420}{6} = 70 \text{ feet} \]

The depth of Lake Segundo is 70 feet. Since the elevation is below sea level, we express this as a negative value:

\[ \text{Elevation at the bottom of Lake Segundo} = -70 \text{ feet} \]

Thus, the elevation at the bottom of Lake Segundo is:

\[ \boxed{-70} \text{ feet} \]