**A ladder 25 feet long is leaning against**

**the wall of a house (see figure). The base of the ladder is**

**pulled away from the wall at a rate of 2 feet per second**

**(a) How fast is the top of the ladder moving down the wall**

**when its base is 7 feet, 15 feet, and 24 feet from the wall?**

**(b) Consider the triangle formed by the side of the house, the**

**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.**

**© 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 wall.**

**Answer:**