
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
Given the ellipse with equation $\frac{{x}^{2}}{100}+\frac{{y}^{2}}{36}=1$ and a point $P$ on the ellipse at a distance of $6$ from one focus $F_{1}$, calculate the distance from $P$ to the other focus $F_{2}$.

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