
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
In triangle \( \boldsymbol{A} \boldsymbol{B} \), the altitude \( h_{a}=6 \) centimeters divides side \( a=15 \) cm in the ratio \( 4:1 \). What is the angle \( \alpha \)?

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