
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
An equilateral triangle XYZ has a side of 60 cm and is parallel to the ceiling. Wires OX, OY, and OZ are each 100 cm long, with their lower ends 90 cm from the ceiling. Calculate the vertical distance between the equilateral triangle XYZ and the ceiling.

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