
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
A stone is dropped into a well, and the sound of the stone striking the bottom is heard 10 seconds after it is dropped. Assume that the stone falls according to the distance formula \(d = 20t^2\) feet in \(t\) seconds and that the velocity of sound is \(1100\) feet per second. Find the depth of the well.
A) 784 ft.
B) 342 ft.
C) 122500 ft.
D) 1568 ft.
E) None of these

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