Final answer:
The arc length of a circle intercepted by a central angle of 5π/3 radians and radius 13.3 units, calculated to three significant figures is approximately 69.7 units. The available multiple choice options do not include this correct answer, indicating a possible error in the options provided.
Step-by-step explanation:
The length of the arc in a circle can be found by calculating the product of the central angle in radians and the radius of the circle. Since the central angle given is δ = 5π/3 radians, and the radius of the circle is R = 13.3 units, we use the formula arc length (s) = R * δ to determine the arc length intercepted by the central angle. By plugging in the values, we get s = 13.3 * (5π/3) = approximately 69.7 units. However, we need to provide the answer to three significant digits, so the arc length rounded to three significant figures is 69.7 units, which isn't an option provided in the multiple choices presented in the question which seems to be an error.