
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 the diagram, $\triangle AFB$, $\triangle BFC$, and $\triangle CFD$ are right-angled, with $\angle AFB=\angle FBC = \angle FCD = 60^\circ$, and $AF=48$. Find the length of $FC$.

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