
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
A cylinder with a radius of $20 \text{ cm}$ touches the ground along the line $e$. Perpendicular to the line $e$, a $50 \text{ cm}$ long rod is placed resting against the cylinder, such that the end of the rod on the ground is $40 \text{ cm}$ away from the line $e$. How high is the other end of the rod?

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