
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 base of the pyramid \( SABC \) is an equilateral triangle \( ABC \). The edge \( SA \) is perpendicular to the base plane. Find the angle between the lateral face \( SBC \) and the base plane, given that the lateral surface area of the pyramid is related to the base area as \( 11: 4 \).

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