
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
Mount Xianv in Chongqing is a national 5A-level scenic spot and one of the most influential forest parks in China. Xiao Nan participated in a social practice activity arranged by the school. The temperature was measured as $14^{\circ}\mathrm{C}$ at the time of departure, and the temperature was measured $6$ times during the study process. The temperature data is listed in the table below:  
The symbol "$+$" indicates an increase in temperature compared to the previous measurement, and "$-$" indicates a decrease in temperature compared to the previous measurement.

| Time | 1 | 2 | 3 | 4 | 5 | 6 |
|------|---|---|---|---|---|---|
| Temperature Change ($^{\circ}\mathrm{C}$) | $-3.8$ | $+1.4$ | $-3.3$ | $-2.9$ | $+1.5$ | $-3.1$ |

$(1)$ What was the temperature during Xiao Nan's second measurement?  
$(2)$ Given that for every increase of $100$ meters in altitude in the region, the temperature decreases by $0.5^{\circ}\mathrm{C}$, what is the vertical height from the starting point to the location of the sixth measurement point?

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