Calculus Ab
posted by Maria .
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 is 10 feet away from the building.
a. How fast is the distance between the top of the ladder and the top of the building shrinking?
b. How fast is the angle of elevation created between the ladder and the ground changing?
c. What is the rate of change of the area of of the triangle formed between the ladder, the building, and the ground?
Respond to this Question
Similar Questions

Algebra
a ladder is leaned against a building. the bottom of the ladder is 9 feet from the building the top of the ladder is 16 feet above the ground. draw a diagram to represent the situation. what is the slope of the ladder? 
Calculus
a 16 foot ladder is leaning against a building. the bottom of the ladder os sliding along the pavement at 3 ft/s How fast is the top of the ladder moving down when the foot of the ladder is 2 ft from the wall 
Elements of Calc.
A 17 foot ladder is placed against a wall. if the foot of the ladder is pushed toward the wall at 0.5 feet per second, how fast is the top of the ladder rising when the foot is 8 feet from the wall? 
Trig
A 24foot ladder is placed against a building. The building is perpendicular to the level ground so that the base of the ladder is 11 feet away from the base of the building. How far up the building, in feet, does the ladder reach? 
college algebra
A contractor leans a 23foot ladder against a building. The distance from the ground to the top of the ladder is 7 feet more than the distance from the building to the base of the ladder. How far up the building is the ladder to the … 
calculus
A ladder 13 feet long is leaning against the side of a building. If the foot of the ladder is pulled away from the building at a constant rate of 8 inches per second, how fast is the area of the triangle formed by the ladder, the building, … 
Calculus
a 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 1 feet/second, how fast is the top of the ladder moving down when the foor of the ladder is … 
Calculus
a 14 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 feet/second, how fast is the top of the ladder moving down when the foor of the ladder is … 
Calculus
A ladder 30 ft. long is leaning up against a building. If the top of the ladder is being pulled up the wall of the building at a rate of 1.5 feet per minute, find the rate at which the base of the ladder is moving toward the building … 
Calculus
A 15.5 foot ladder leaning up against the building .the base is 8.2 feet away from the building .how far up does the ladder reach against the building.