11. Calculate the following

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.]