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 velocity of the top of the ladder when the base is given below? 7 feet away from the wall P/soc 20 feet away from the wall PUsec 24 feet away from the wall (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 fout from the wall n²/sec (c) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 7 feet from the wel rad/sec

Please written by computer source A ladder ?=13 m long is leaning against a wall. If the lower end of the ladder slides away from the wall at the rate of ?=0.5 m/s, at what rate is the inclination ? of the ladder with respect to the ground changing when the lower end is 4 m from the wall?