
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
The axial section of the cylinder is a square. The segment $AB$, connecting point $A$ on the upper base circumference with point $B$ on the lower base circumference of the cylinder, has length $a$ and is at a distance $b$ from the axis of the cylinder. Find the angle between the line $A$ and the plane of the base of the cylinder.

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