
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 brakes of a car allow it to stay stationary on an inclined asphalt surface with a base angle not exceeding $30^{\circ}$. Determine the minimum braking distance of this car when traveling at a speed of $30 \, \text{m/s}$ on a flat horizontal road with the same surface. The acceleration due to gravity is $g=10 \, \text{m/s}^2$, $\cos 30^{\circ} \approx 0.866$, and $\sin 30^{\circ} = 0.5$. (15 points)

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