4. A ladder 25 feet long is leaning against a wall of a house. The base of the ladder is being pulled away from the wall at the rate of 2 feet per second. a. How fast is the top of the ladder moving down the wall when the base of the ladder is 7 feet from the wall? b. Consider the triangle formed by the wall, the ground, and the ladder. Find the rate at which the area of this triangle is changing when the base of the ladder is 7 feet from the wall. c. Find the rate at which the angle between the ladder and the wall is changing when the base of the ladder is 7 feet from the wall.
a. 7/12 ft per4. A ladder 25 feet long is leaning against a wall of a house. The base of the ladder is being pulled away from the wall at the rate of 2 feet per second. a. How fast is the top of the ladder moving down the wall when the base of the ladder is 7 feet from the wall? b. Consider the triangle formed by the wall, the ground, and the ladder. Find the rate at which the area of this triangle is changing when the base of the ladder is 7 feet from the wall. c. Find the rate at which the angle between the ladder and the wall is changing when the base of the ladder is 7 feet from the wall.
a. 7/12 ft per

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anonymous · Answer

b. 14 ft/second