
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 trapezoid $PQRS$, $PQ \parallel RS$, diagonal $QS = 1$, $\angle PQS = 30^\circ$, and $\angle QRS = 60^\circ$. The ratio $RS: PQ$ is $7:4$. What is the length of $PR$?
A) $\frac 12$  
B) $\frac 23$  
C) $\frac 34$  
D) $\frac 45$  
E) $\frac 56$

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