
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the diagram, \( LM \) is perpendicular to \( MN \). Rectangle \( WXYZ \) has \( W \) on \( LM \) and \( Z \) on \( MN \). Also, \( YZ = 1 \) meter, \( XY = 3 \) meters, and \( MZ = 1.2 \) meters. Calculate the distance from \( X \) to line \( MN \), to the nearest hundredth of a meter.

Present the answer in LaTex format: \boxed{Your answer}
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