Question
Lake Profondo has a depth of 84 feet. Lake Segundo is 5/6
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)
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)
Answers
GPT-4o mini
To find the depth of Lake Segundo, we first calculate \( \frac{5}{6} \) of the depth of Lake Profondo:
\[
\text{Depth of Lake Segundo} = \frac{5}{6} \times 84 \text{ feet}
\]
Calculating this, we get:
\[
\frac{5}{6} \times 84 = \frac{5 \times 84}{6} = \frac{420}{6} = 70 \text{ feet}
\]
Since the elevation is measured below sea level, we express the elevation at the bottom of Lake Segundo as negative:
\[
\text{Elevation at the bottom of Lake Segundo} = -70 \text{ feet}
\]
Therefore, the elevation at the bottom of Lake Segundo is \(\boxed{-70}\) feet.
\[
\text{Depth of Lake Segundo} = \frac{5}{6} \times 84 \text{ feet}
\]
Calculating this, we get:
\[
\frac{5}{6} \times 84 = \frac{5 \times 84}{6} = \frac{420}{6} = 70 \text{ feet}
\]
Since the elevation is measured below sea level, we express the elevation at the bottom of Lake Segundo as negative:
\[
\text{Elevation at the bottom of Lake Segundo} = -70 \text{ feet}
\]
Therefore, the elevation at the bottom of Lake Segundo is \(\boxed{-70}\) feet.