
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 positioned in a plane. $A$ 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 distance between $C$ and $D$ is 200 m. A kite is flying in the air at point $K$ directly above $O$. The kite is tethered by four strings $KA$, $KB$, $KC$, and $KD$. String $KC$ is 210 m long and string $KD$ is 190 m long. Determine how high the kite is above the ground (i.e., the length of $OK$).

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