The top of a 15-foot ladder leans against a wall, and the bottom of the ladder slides away from the wall at a rate of 4 ft/sec. Find the velocity of the top of the ladder at time t = 1 sec if the bottom of the ladder is 5 feet away from the wall at time t = 0. ft/sec Suppose that both the radius r and height h of a circular cone are increasing at a rate of 6 cm/s. How fast is the volume of the cone increasing when r = 7 cm and h = 5 cm? (Round your answer to three decimal places.) cm3/s A road perpendicular to a highway leads to a farmhouse located a = 1.3 km away (see below figure). An automobile travels past the farmhouse at a speed of v = 55 km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.4 km past the intersection of the highway and the road? (Round your answer to three decimal places.) km/h