The correct answer is A) handling wire rope or natural fiber line. Safety goggles or glasses are typically required when handling wire rope or natural fiber line because these materials can fray, break, or snap under tension, potentially causing eye injuries from flying debris. In contrast, safety glasses are not normally needed when using a rotary grinder with an installed shield (B), painting with a spray gun (C), or letting go the anchor (D), as these tasks do not pose the same risk of eye injuries from fraying or snapping lines.