8/15/2015 Perkins AP Calculus AB Day 12 Section 2.6.

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8/15/2015 Perkins AP Calculus AB Day 12 Section 2.6

1. The base of a 25-foot ladder is being pulled away from the house it leans on at a rate of 4 feet per second. At what rate is the top of the ladder moving when the base of the ladder is 7 feet from the building? x y

2a. Mr. Aldridge, who is 6 feet tall, walks at a rate of 4 feet per second away from a light that is 13 feet above the ground. Find the rate at which his shadow’s length is changing when he is 10 feet from the base of the light. s x d 6 13 ft

2b. Mr. Aldridge, who is 6 feet tall, walks at a rate of 4 feet per second away from a light that is 13 feet above the ground. Find the rate at which the position of the tip of his shadow is changing when he is 10 feet from the base of the light. s x d 6 13 ft

3. A fishing line is reeled in at a rate of 1 foot per second from a bridge that is 15 feet above the water. At what rate is the angle between the line and the water changing when 25 feet of line is out? x r 25

Perkins AP Calculus AB Day 12 Section 2.6

1. The base of a 25-foot ladder is being pulled away from the house it leans on at a rate of 4 feet per second. At what rate is the top of the ladder moving when the base of the ladder is 7 feet from the building?

2a. Mr. Aldridge, who is 6 feet tall, walks at a rate of 4 feet per second away from a light that is 13 feet above the ground. Find the rate at which his shadow’s length is changing when he is 10 feet from the base of the light.

2b. Mr. Aldridge, who is 6 feet tall, walks at a rate of 4 feet per second away from a light that is 13 feet above the ground. Find the rate at which the position of the tip of his shadow is changing when he is 10 feet from the base of the light.

3. A fishing line is reeled in at a rate of 1 foot per second from a bridge that is 15 feet above the water. At what rate is the angle between the line and the water changing when 25 feet of line is out?