1, A trough is 12 feet long and 3 feet across the top (see gure). Its ends are isosceles triangles with altitudes of 3 feet. (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when his 1.3 feet deep? fit/min (b) If the water is rising at a rate of 3/5 inch per minute when h 2.3, determine the rate at which water is being pumped into the trough. 2. A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the veIOCity of the top of the ladder when the base is given below? 7 feet away from the wall - J ftfsec (b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at which the area of the triangle is changing when the base of the ladder is 7 feet from the wall. x .2