
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 side of the lower base of a regular truncated quadrangular pyramid is 5 times the side of the upper base. The lateral surface area of the pyramid is equal to the square of its height. Find the angle between the lateral edge of the pyramid and the plane of the base.

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