Suppose that a ladder of length 25 ft is placed on a vertical wall. It was then found out that the foot of the ladder slides at a rate of 2 in/min. How fast is the top of the ladder sliding down at an instance when the foot of the ladder is 20 feet away from the wall? A -2/9 ft per min В -4.5 ft per min -3.5 ft per min -1/8 ft per min

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: From the Pythagorean theorem, BC2+AB2=AC2

Q: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away…

A: Rate of change

Q: 21. A ladder 5 m long is leaning against a vertical wall. If a person pulls the bottom of the ladder…

A: Topic:- application of derivatives

Q: 25. A 10-foot ladder is placed against a vertical wall. Suppose that the bottom of the ladder slides…

A: Given :-  dx/dt= 3feet/sec  Ladder height= 10feet  Find rate at which ladder is sliding down from…

Q: 1. A ladder 8 m long is leaning against a wall. If the bottom of the ladder is pulled horizontally…

A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

Q: A ladder 10 ft. long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: A ladder 10 ft. long If the bottom of the ladder slides away from the wall at a rate of 2 ft./sec.,…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We have  height of pulley =1 m rate of approach =1 m/s We can assume a triangle as Where x as base…

Q: A ladder 25 feet is leaning against a wall. If the foot of the ladder is being pulled away from the…

A: To determine the rate at which the ladder is sliding. Given: Ladder is 25 feet long dx/dt = 14…

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A: Given that

Q: A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: A ​13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Given  Length of ladder = 13 foot  Rate of movement of ladder from wall = 4ft/second

Q: 1. Water is poured into a conical tank 6 m across the top and 8m deep at the rate of 10 How fast is…

A: To find: The rate of water level rising when water in the tank is 5 m deep. Formula used: The volume…

Q: A 15-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of…

A:

Q: An 8-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: From Pythagorean theorem in the right triangle,  the length of the ladder is h2+b2.

Q: A ladder 10 meters long leans against a wall. If the bottom of the ladder is being pulled away from…

A: .

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: A ladder 8 m long leans against a model home. If the bottom of the ladder slides away from the…

A: Given- A ladder 8 m long leans against a model home. If the bottom of the ladder slides away from…

Q: A ladder 10 ft long rests against a vertical wall . If the bottom of the ladder slides away from the…

A: Please see the answer below.

Q: A ladder is slipping down a vertical wall. If the ladder is 13 ft long and the top of it is slipping…

A: Given ,dydt=-2ft/s     negative sign because as ladder is slipping down, y decreasesby Pythagor…

Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

A:

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A:

Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its…

A:

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Given : The pulley is 1 m higher than the bow The rate at which rope is pulled dydt=-1m/s and x=8.…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We sketch the situation roughly  Let us assume x=the distance of the boat from the dock y=the…

Q: ladder away

A:

Q: A ladder 7 m long is leaning against a wall. If the bottom of the ladder is pushed horizontally…

A:

Q: pushed

A: Given: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being…

Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Let us consider that, lowermost end of ladder is y foots away from wall and height of wall is x…

Q: A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A:

Q: 20. A 13 foot ladder leans against a vertical wall. When the ladder is pulled away from the wall at…

A:

Q: A 14 ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A: Definition used -                Related rate -  These are the problems in which we know one of…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Let A= Pulley , B= Boat Given that AC=1  Let, x= distance of the boat from the dock. y=length of the…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A:

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: The dock is 1m higher than the bow of the boat. Pulled rate of the rope of 1.4m/s To calculate the…

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: 1. How fast is the water level rising in a rectangular fish tank whose base is 20 ft² if the tank is…

A: Give: Area of base is A=20 ft2 Rate with which tank is filling dVdt=0.5 ft3/min. Volume of a…

Q: A ladder of length 5 m rests against a vertical wall. If the base of the ladder is pulled away from…

A:

Q: A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a…

A:

Q: B. A ladder 13 feet long rests against a vertical wall. If the top of the ladder slides down at a…

A:

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Height = 10 foot 3 feet/sec Ladder is 3 feet from the wall

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.  How fast does the tip of…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is…

A: The volume of water trough = Area × Length Area of trapezium = 12×Sum of parallel sides×height…

Q: 2. A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A:

Q: 5. A ladder 20 ft long leans against a vertical building. If the top of the ladder slides down at a…

A: Given query is to find the speed at which bottom of the ladder is sliding.

Q: A ladder 13 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A:

Q: 1 A 5 m ladder is leaning against a wall of a house. The bottom of the ladder is pulled away from…

A: Let the bottom of the ladder is x meters away from the wall and the top of ladder is at distance y…

Q: How do you solve question 2?

A: Let x= horizontal distance y= vertical distance Given that dx/dt=1 ft/sec We have to find dy/dt at…