A 5.5m ladder is leaning against a house when its base starts to slide away. By the time the base is XXXXXXXXXXm from the?house, the base is moving away at the rate of 9.99.9 ?m/s. a. What is the rate...

A 5.5m ladder is leaning against a house when its base starts to slide away. By the time the base is 4.44.4 m from the?house, the base is moving away at the rate of 9.99.9 ?m/s. a. What is the rate of change of the height of the top of the?ladder? b. At what rate is the area of the triangle formed by the?ladder, wall, and ground changing?then? theta? x(t)y(t)05.5mladderxy c. At what rate is the angle between the ladder and the ground changing?then?