
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
Two equal cones with a common vertex touch each other and some plane $\alpha$. Let $l$ be the line along which the planes of the bases of the cones intersect. Find the angle between the line $l$ and the plane $\alpha$ if the height of each cone is 2 and the radius of the base is 1.

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