307. The length of a freely hanging rope is 3 m \(88 \frac{1}{2}\) cm.
307. Rope. A rope hangs from the ceiling, touching the floor. If, while keeping the rope taut, it touches the wall, the end of the rope will be 3 cm from the floor. The distance from the freely hanging rope to the wall is 48 cm.

What is the length of the rope?