
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 Ferris wheel has a radius of 30 feet and revolves at the constant rate of half a revolution per minute. A rider starts at the bottom of the wheel. Calculate the time (in seconds) it takes for the rider to complete a half circle from the bottom to the top, then to descend to a point that is exactly 20 vertical feet above the starting point.
A) 65 seconds
B) 70 seconds
C) 75 seconds
D) 80 seconds

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