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A data report represents the relationship between the palm's length and the height of that person. It is represented using the function \(h(t)\) \(=\) 8.77\(t\) \(+\) 47.71.
 
1. Find the length of the palm when the height \(=\) 174.73 \(cm\).
 
Palm's length \(=\)  \(cm\)
 
 
2. Find the height when the palm's length \(=\) 9.66 \(cm\).
 
Height \(=\)  \(cm\)
 
[Note: The answer should be rounded to two decimal places.]