
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
In a park, four points $A$, $B$, $C$, $D$, and $O$ are positioned on level ground. $A$ is directly north of $O$, $B$ is directly west of $O$, $C$ is south-east of $O$ at a 45-degree angle, and $D$ is directly east of $O$. The distance between $C$ and $D$ is 190 m. A drone flies directly above $O$ at point $H$. It is connected by four ropes to points $A$, $B$, $C$, and $D$. The length of the rope $HC$ is 200 m and the rope $HD$ is 160 m. Determine the altitude of the drone above the level field (i.e., the length of $OH$).

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