
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
A train is traveling at a speed of \( v = 60 \frac{\mathrm{km}}{\text{hour}} \) on its track. It safely navigates a curve when the resultant of the weight and the centrifugal force is perpendicular to the plane laid through the tracks. If the radius of the curve is \( R = 200 \mathrm{~m} \), by what angle should the outer rail be elevated?

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