Final answer:
A person travels 161.5 feet on a Ferris wheel with a radius of 38 feet after rotating through an angle of 4.25 radians.
Step-by-step explanation:
The distance a person travels on a Ferris wheel is related to the radius of the wheel and the angle through which the wheel rotates. The formula to calculate this distance is given by arc length = radius × angle in radians. In this case, with a radius of 38 feet and an angle of 4.25 radians, the distance traveled by the person is:
Arc length = 38 feet × 4.25 radians
Arc length = 161.5 feet
Therefore, a person would travel 161.5 feet as the Ferris wheel rotates through an angle of 4.25 radians.