To determine the longest possible length with the appropriate level of precision, we'll follow these steps:
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Identify Measurements: We have the following measurements:
- \(34.2, m\)
- \(34.25, m\)
- \(29.235, m\)
- \(33.7, m\)
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Determine Precision of Each Measurement:
- \(34.2, m\) has 1 decimal place.
- \(34.25, m\) has 2 decimal places.
- \(29.235, m\) has 3 decimal places.
- \(33.7, m\) has 1 decimal place.
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Find the Longest Measurement: The longest measurement among these is \(34.25, m\).
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Consider Appropriate Precision: To report a result with appropriate precision based on the measurements, we use the measurement with the highest precision, which in this case is \(34.25, m\) (2 decimal places).
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Report the Result: Therefore, the longest possible length with the appropriate level of precision is:
\[ \text{Longest Length} = 34.25, m \]
Thus, the answer is \(34.25, m\).