
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
$ABCDEFGH$ is a rectangular prism with dimensions length $a$, width $b$, and height $c$. Points $A$, $B$, $C$, $D$ are on the ground, and points $E$, $F$, $G$, $H$ are directly above them, respectively. Given $a = 2$, $b = 2$, and $c = 3$ in some units, find $\sin \angle HAC$.

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