Lake Profondo has a depth of 84 feet. Lake Segundo is 56

Question

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)

Answer 1

To find the depth of Lake Segundo, we first need to calculate \( \frac{56}{6} \) of the depth of Lake Profondo, which is 84 feet.

First, convert \( 56 \frac{5}{6} \) into an improper fraction:

\[ 56 \frac{5}{6} = \frac{56 \times 6 + 5}{6} = \frac{336 + 5}{6} = \frac{341}{6} \]

Now calculate the depth of Lake Segundo:

\[ \text{Depth of Lake Segundo} = \left(\frac{341}{6}\right) \times 84 \]

To simplify this calculation:

1. First, compute \( 84 \div 6 \):

\[ 84 \div 6 = 14 \]

2. Now multiply by 341:

\[ \text{Depth of Lake Segundo} = 341 \times 14 \]

Calculating \( 341 \times 14 \):

\[ 341 \times 14 = 4774 \]

So, the depth of Lake Segundo is 4774 feet. Since the question is asking for the elevation at the bottom of Lake Segundo, and this elevation is below sea level, we will express it as a negative value:

\[ \text{Elevation at the bottom of Lake Segundo} = -4774 \text{ feet} \]

Thus, the elevation at the bottom of Lake Segundo is -4774 feet.