
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, points $P$, $Q$, $R$, $S$, and $T$ are positioned such that $P$ is directly north of $T$, $Q$ is directly west of $T$, $R$ is directly south of $T$, and $S$ is directly east of $T$. The distance between $R$ and $S$ is 160 m. A drone is hovering above $T$ at point $U$. The drone is stabilized by four cables $UP$, $UQ$, $UR$, and $US$, where cable $UR$ is 180 m long and cable $US$ is 150 m. How high is the drone above the park (i.e., the length of $TU$)?

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