
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
Under the sunlight, a sphere is placed on a plane. At a certain moment, the furthest point reached by the sphere's shadow is $10 \mathrm{~m}$ from the point of tangency between the sphere and the plane. At the same moment, the length of the shadow cast by a vertical meter stick on the plane is $2 \mathrm{~m}$. What is the radius of the sphere (unit: $\mathrm{m}$)?

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