
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
According to meteorological data, for every increase of $0.5$ km in height of a certain mountain peak, the temperature decreases by $3^{\circ}\mathrm{C}$. One day, before a mountaineering team set off, the temperature at the foot of the mountain was $-2^{\circ}\mathrm{C}$. <br/> $(1)$ After the mountaineering team ascends $2.5$ km and reaches the first campsite, what is the temperature at the first campsite? <br/> $(2)$ It is known that the temperature at the second campsite on the same day is $-29^{\circ}\mathrm{C}$. How many kilometers above the foot of the mountain is the second campsite?

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