Final answer:
The question seems incomplete, as the given angles mABC = 92° and mACB = 30° do not provide enough information to calculate the distance. Usually, the arc length formula, involving the central angle and radius, is used to find distances on a circle. Additional data or context is needed to provide an accurate distance measurement.
Step-by-step explanation:
The question is related to finding the distance between two points located on a circle with a known radius. Given the angles mABC and mACB, what we need to calculate is the length of the arc between points A and B on the circle that represents the distance between the locations. In this case, the given angles mABC = 92° and mACB = 30° are not directly helpful for calculating the distance without additional information. It appears there is some missing context or information that would connect these angles to the actual arc or distance measurement we are seeking.
Usually, to find the distance between two points on a circle using angles, you would use the formula for the length of an arc, which is L = θ/360 * 2πr, where θ is the central angle in degrees and r is the radius. However, we do not have the central angle between points A and B, nor do we have the radius of the circle.
Based on the other provided information, it seems we need to associate the angles with measurements on the circle where AB is an arc. If the radius R to the Moon is known and the arc AB covers 0.1 degrees, the distance on that scale can be calculated using the arc formula mentioned previously. Otherwise, additional data or clarification is required to accurately answer the question.