
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 unicorn is tethered by a 30-foot golden rope to the base of a magician's cylindrical tower whose radius is 5 feet. The rope is attached to the tower at ground level and to the unicorn at a height of 5 feet. The rope makes an angular contact with the ground at 30 degrees from the point where it is tethered. The unicorn has pulled the rope taut, keeping this angle constant. The rope is 5 feet from the nearest point on the tower at ground level. Find the length of the rope that is touching the tower.

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