
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
The lightning's straight path is visible at an angle of $a = 42^{\circ} 21^{\prime} 13^{\prime \prime}$. The time lapse between the start of the lightning flash and the start of the thunder is $a = 10^{\prime \prime}$, and the thunder lasts for $b = 2.5^{\prime \prime}$. How long is the lightning's path if the speed of sound is $333 \mathrm{~m/s}$?

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