RE Rate of descent of a hot-air balloon? A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the angle of the rope to the ground remains at 65° and the rope is pulled in at 5 ft/s. how quickly is the elevation of the balloon changing?

Solution Step 1: Given a rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the angle of the rope to the ground remains at 65° and the rope is pulled in at 5 ft/s. Let h be the elevation of the balloon and s be the length of the rope We have to find the change in the elevation of the balloon that is h’ here rope is pulled in at 5 ft/s that is s’ is 5 ft/s and the angle of the rope to the ground remains at 65°