
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
Trapezoid $PQRS$ has $PQ||RS$, $QR = 2$, $\angle QRP = 30^{\circ}$, and $\angle PSR = 60^{\circ}$. The ratio $RS: PQ$ is $7: 3$. What is the length of $PS$?
A) $\frac{5}{3}$ 
B) $\frac{6}{3}$
C) $\frac{7}{3}$ 
D) $\frac{8}{3}$
E) $\frac{9}{3}$

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