
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 right triangle $PQR$, $\cos{Q} = \frac{8\sqrt{145}}{145}$. Find $PR$.

[asy]
draw((0,0)--(8,0)--(0,10)--cycle,black+linewidth(1));
draw(rightanglemark((8,0),(0,0),(0,10),20),black+linewidth(1));
label("$P$",(0,0),W);
label("$Q$",(8,0),E);
label("$R$",(0,10),W);
label("$\sqrt{145}$",(8,0)--(0,10),NE);
[/asy]

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