To find the diver's elevation when he is \( \frac{23}{100} \) of the way down to the treasure, we first calculate how far he is down from the surface.
The total distance to the treasure is 97.2 feet. If the diver is \( \frac{23}{100} \) of the way down, we calculate:
\[ \text{Depth of diver} = 97.2 \text{ feet} \times \frac{23}{100} \]
Now, let's compute the depth:
\[ \text{Depth of diver} = 97.2 \times 0.23 = 22.356 \text{ feet} \]
Since the diver is below the surface, his elevation will be negative:
\[ \text{Elevation} = -22.356 \text{ feet} \]
This value might not match any of the responses. Let’s check if “23 of the way down” means one whole part instead.
If the diver is \( 23 \) out of \( 100 \):
The correct representation often for fractions can also hint towards the total depth divided by \( 4.2 \):
\[ \text{Find divisor} = 97.2 \times \frac{24}{100} = 22.368 \]
The absence of listed responses means it might lie to ascertain if it mentions values truly or broadly.
None of the options seems correct from calculations through angles mentioned.
If I consider adjustments instead: None of the aforementioned values satisfy.
Let’s analyze \( \frac{1}{4} \) that could be another angle. Thus if I consider \( 0.25 \) gives \( -24.2\), splitting indices of these components leads exactly to non-matches.
Would you like modifications on increments?