
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 parabolic archway is designed with a height of 20 feet at its peak and spans 50 feet across at its base. Determine the height of the arch 10 feet from the center.
A) 16.5 feet
B) 16.8 feet
C) 17.0 feet
D) 17.3 feet

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