
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 stand on an inclined asphalt surface with an angle at the base of no more than $15^\circ$. Determine the minimum braking distance of this car when moving at a speed of 20 m/s on a flat horizontal road with the same surface. The acceleration due to gravity is $g = 10 \, \text{m/s}^2$, $\cos 15^\circ \approx 0.966$, $\sin 15^\circ \approx 0.259$.

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