A 10-ft ladder leans against a house on flat ground. The base of the ladder starts to slide away from the house at 2 ft/s. a. At what rate is the top of the ladder moving when the base of the ladder is 8 feet from the house b. A ladder of unknown length is leaning against a house. At what rate is the angle between the ladder and the ground changing when the base is 8 feet from the house and moving away from the house at 3 ft/s and the top of the ladder is 5 feet from the ground and sliding down at 2 ft/sc. At what rate is the area of the triangle formed by the ladder, the house and the ground changing when the bottom of the ladder is 8 feet from the house and moving away from the house at 3 ft/s and the top of the ladder is 5 feet from the ground and sliding down at 2 ft/s