
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 large sphere is on a flat field on a clear day. At a certain time, the edge of the sphere’s shadow is at a distance of 16 m from the point where the sphere touches the ground. Simultaneously, a vertically held meter stick (1 m tall) casts a shadow that is 4 m long. What is the radius of the sphere in meters? Assume the sun's rays are parallel and the meter stick represents a vertical line segment.
A) 4 m
B) 5 m
C) 6 m
D) 7 m

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