Maria is sitting on a Ferris wheel such that she rotates around a circular path whose radius is 22 feet. Through what radian angle does Maria rotate if she travels a distance of 552 feet?

25 radians

Step-by-step explanation:

The appropriate formula is that for arc length:  s = rФ, where Ф represents the central angle in radians.

Solving for Ф, we get Ф = 552 ft  /  22 ft = 25 radians, approximately.

Since 1 radian is approximately 57.1 degrees, this 25 radian result is roughly equivalent to 1428 degrees.