
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 has a maximum height of 20 feet and a span of 50 feet. At a point 10 feet away from the center, what is the effective height of the arch considering an arch thickness of 6 inches? Report the effective height in feet and inches.
A) 16 feet and 4 inches
B) 16 feet and 3.5 inches
C) 16 feet and 3.6 inches
D) 17 feet
E) 15 feet and 11 inches

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