To find the diver's elevation when he is 23% of the way down to a depth of 97.2 feet, you can follow these steps:
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Calculate 23% of 97.2 feet: \[ 0.23 \times 97.2 = 22.296 \text{ feet} \]
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Since the diver is going down, his elevation will be negative. Therefore, the elevation of the diver when he is 23% of the way down is: \[ -22.296 \text{ feet} \]
This value does not directly match any of the provided options. However, it seems that the percentages were likely misinterpreted with the options given. If you're looking for the closest value based on the original data, we can check the numbers or format used.
The options provided seem to reflect different percentages of the total depth, possibly indicating a misunderstanding in the interpretation of the prompt. However, it appears that there may have been an error as 22.296 does not appear in the choices.
- If instead, you recalculate for some of the provided numbers:
- For -32.4 ft, that is approximately 33.33% down.
- For -48.5 ft, that is roughly 49.9% down.
- For -64.8 ft, that is about 66.67% down.
- For -145.8, that would be over the total depth, which isn't feasible.
The clean closest option without clarity provided seems still remains elusive if strictly following 23% of the depth:
If options were misread as "ways down," that could clarify other percentages for matching options.
If other clarifying details came through on what portion was sought, please let me know.