Calculus
posted by Thomas .
Mr. Cook was painting Arvada West High School, standing on top of a 25]foot ladder. Why? We will never
know. However, he was horrified to find the ladder being pulled away by the same notorious student that
threw a snowball at Mrs. Evans. The base of the ladder was moving from the school at a constant rate of 2
feet per second.
8) At what rate was the top of the ladder carrying him down toward the ground when the base of the ladder
was 17 feet away from AWest?

draw the triangle.
b^2+h^2=25^2
2b db/dt+ 2h dh/dt=0
solve for h (sqrt (25^2b^2)
you know db/dt, b, h, solve for dh/dt 
poopy pants
Respond to this Question
Similar Questions

Calculus
related rates: a ladder, 12 feet long, is leaning against a wall. if the foot of the ladder slides away from the wall along level ground,what is the rate of change of the top of the ladder with respect to the distance of the foot of … 
Calculus
A 25 foot ladder is leaning on a 9 foot fence. The base of the ladder is being pulled away from the fence at the rate of 10 feet/minute. How fast is the top of the ladder approaching the ground when the base is 9 from the fence? 
Calculus Ab
A 26 foot step ladder is leaned up against a 30 foot building to reach a window near the top. The ladder is being pushed toward the building in a horizontal direction of 2 feet per second. 1. Find each related rate when the ladder … 
Calculus
A 17 foot ladder is leaning on a 6 foot fence. The base of the ladder is being pulled away from the fence at the rate of 5 feet/minute. How fast is the top of the ladder approaching the ground when the base is 6 from the fence? 
Math Calculus
The foot of a 30foot ladder is being pulled away from a vertical wall at a rate of 1 foot per minute. When the top of the ladder is 6 feet from the ground, at what rate is the top of the ladder moving down the wall? 
Calculus
A 23 foot ladder is leaning on a 6 foot fence. The base of the ladder is being pulled away from the fence at the rate of 7 feet/minute. How fast is the top of the ladder approaching the ground when the base is 6 from the fence? 
Calculus
Mr. Cook was painting Arvada West High School, standing on top of a 25]foot ladder. Why? 
Calculus
a 5m ladder rests against a vertical wall. The top of the ladder begins sliding down the wall at 2m/sec, while the foot of the ladder moves away from the base of the wall. How fast is the foot of the ladder moving away from the wall … 
Calculus
A ladder 15 meters long leans against a vertical wall. If the foot of the ladder is being pulled away from the wall at the rate of 2 meters per minute. How fast is the top of the ladder sliding down the wall at the instant when the … 
Calculus (related rates)
A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.4 m/sec. How fast is the top sliding down the wall when the foot of the ladder …