Final answer:
The provided value of x using the relationship x = rθ is 11 m, which is not included in the answer choices. To use trigonometric ratios for calculation, additional details are required.
Step-by-step explanation:
The question requires using trigonometric ratios to calculate the distance traveled, represented as x. However, the value of x has been provided in the information without requiring further calculation - x is determined by the relationship x = rθ =(0.15 m)(75.4 rad)= 11 m. The given choices do not include this value, meaning the answer is not within the provided options. If a trigonometric ratio needs to be applied, additional information regarding the specific angle and which trigonometric function to use would be necessary.