A 25-ft lаdder is leаning аgainst a hоuse when its base starts tо slide away. By the time the base is 7 ft frоm the house, the base is moving away at the rate of 72 ft/sec. Find the following: Part A: The rate of change of the height of the top of the ladder is [rate_height] ft/sec. Part B: The rate at which the area of the triangle formed by the ladder, wall, and ground is changing is [rate_area] . Part C: The rate at which the angle between the ladder and the ground is changing is [rate_angle] rad/sec.