
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
From a point 10 m above a lake, the elevation angle to a cloud in the sky is measured to be 30°, and the depression angle to the reflection of the cloud in the lake is measured to be 45°. Calculate the height of the cloud above the lake surface.

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