
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 triangle $PQR$ illustrated below, let the triangle be right-angled at $Q$. Suppose $\sin R = \frac{3}{5}$. If the length of $PQ$ is 15, calculate the length of $PR$.

[asy]
pair P,Q,R;
Q = (0,0);
R = (24.5,0);
P = (0,20);
draw(P--Q--R--P);
draw(rightanglemark(P,Q,R,18));
label("$Q$",Q,SW);
label("$R$",R,SE);
label("$P$",P,NW);
label("$15$",P/2,W);
[/asy]

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