Answer:
2826 feet
Explanation:
The circumference of a circle (such as the Ferris wheel) is given by the formula:
C = πd
where d is the diameter of the circle, and π (pi) is a mathematical constant approximately equal to 3.14.
In this case, the diameter of the Ferris wheel is 50 feet, so its circumference is:
C = πd = 3.14 × 50 feet = 157 feet (rounded to the nearest foot).
Since the Ferris wheel makes 3 rotations per minute, each rotation takes 1/3 of a minute (or 20 seconds).
Therefore, during 6 minutes, the Ferris wheel makes 3 × 6 = 18 rotations.
Each rotation is equivalent to traveling the circumference of the circle, which we found to be 157 feet.
So, the total distance traveled by a passenger during 6 minutes is:
Distance traveled = 18 × 157 feet = 2826 feet (rounded to the nearest foot)
Therefore, the answer is approximately 2826 feet.