
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
A spherical stone casts a shadow that reaches 20 meters away from the point where the stone touches the ground, and a vertically-held 1-meter stick casts a shadow that is 4 meters long. Find the radius of the spherical stone and the angle of elevation of the sun in degrees, assuming the sunlight rays are parallel and the meter stick behaves like a line segment.

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