Question
A diver searches for a sunken treasure that is 97.2 Ft below the surface what is the divers elevation when he is 2/3 of the way down a -48.5 ft B -145.8 ft C negative 32.4 ft the -64.8 ft
Answers
GPT-4o mini
To determine the diver's elevation when he is 2/3 of the way down to the treasure that is 97.2 ft below the surface, we can use the following formula:
\[
\text{Distance down} = \text{Total depth} \times \frac{2}{3}
\]
Given that the total depth to the treasure is 97.2 ft:
\[
\text{Distance down} = 97.2 \, \text{ft} \times \frac{2}{3} = 64.8 \, \text{ft}
\]
Since depth below the surface is considered negative, we find the diver's elevation by subtracting this distance from the surface level (0 ft):
\[
\text{Elevation} = 0 \, \text{ft} - 64.8 \, \text{ft} = -64.8 \, \text{ft}
\]
So, the diver's elevation when he is 2/3 of the way down is \(-64.8\) ft, which corresponds to option D.
\[
\text{Distance down} = \text{Total depth} \times \frac{2}{3}
\]
Given that the total depth to the treasure is 97.2 ft:
\[
\text{Distance down} = 97.2 \, \text{ft} \times \frac{2}{3} = 64.8 \, \text{ft}
\]
Since depth below the surface is considered negative, we find the diver's elevation by subtracting this distance from the surface level (0 ft):
\[
\text{Elevation} = 0 \, \text{ft} - 64.8 \, \text{ft} = -64.8 \, \text{ft}
\]
So, the diver's elevation when he is 2/3 of the way down is \(-64.8\) ft, which corresponds to option D.