
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
A $6 \times 5 \times 4$ rectangular parallelepiped has vertices $P$, $Q$, $R$, and $S$. Let vertex $S$ be at the origin $(0, 0, 0)$, $P$ at $(6, 0, 0)$, $Q$ at $(0, 5, 0)$, and $R$ at $(0, 0, 4)$. What is the perpendicular distance from point $R$ to the plane defined by vertices $S$, $P$, and $Q$?
A) 3
B) 4
C) 5
D) 6

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