
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
Five points $A$, $B$, $C$, $D$, and $O$ are in a park. $A$ is directly north of $O$, $B$ is directly west of $O$, $C$ is directly south of $O$, and $D$ is directly east of $O$. The distances between $C$ and $D$ is now 200 m. A drone is hovering in the air at $H$, directly above $O$. It is connected to points $A$, $B$, $C$, and $D$ by ropes $HA$, $HB$, $HC$, and $HD$. The lengths of the ropes are such that $HC = 170$ m and $HD = 160$ m. Determine the altitude of the drone above the park (i.e., the length of $OH$).

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