
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 villages $M$, $N$, and $P$ are connected by straight roads. The road from $M$ to $N$ is southwestward with a length of $6 \mathrm{~km}$ and a slope of $14^{\circ}$. From $N$ to $P$, the road heads east with a slope of $8^{\circ}$ over a distance of $7 \mathrm{~km}$. How long is the road from $M$ to $P$, and what is its slope?

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