
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
Consider a rectangular piece of paper 8 inches wide and 10 inches long. The paper is folded such that one corner of the paper touches midway along the opposite longer side, forming a crease. Determine the length of the crease $L$ in terms of the folding angle $\phi$ from the horizontal.
A) $5 \cot \phi$
B) $5 \csc \phi$
C) $5 \sec \phi$
D) $10 \csc \phi$
E) $10 \tan \phi$

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