
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 partially buried so that its top just touches the ground level. At a certain time, the shadow of the sphere reaches out a distance of $15$ m from the point where the sphere touches the ground. At the same instant, a two-meter stick (held vertically with one end on the ground) casts a shadow of length $3$ m. What is the visible radius of the sphere in meters, assuming the sun's rays are parallel and the meter stick behaves as a line segment?
A) 8 m
B) 10 m
C) 12 m
D) 14 m

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