
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
Consider a $5 \times 3 \times 6$ rectangular parallelepiped. Vertex $A$ is at the origin $(0, 0, 0)$, and vertices $B$, $C$, and $D$ are at $(5, 0, 0)$, $(0, 3, 0)$, and $(0, 0, 6)$, respectively. Find the perpendicular distance from vertex $D$ to the plane containing vertices $A$, $B$, and $C$.
A) 4.5
B) 5.0
C) 5.5
D) 6.0
E) 6.5

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