A ladder 25 feet long is leaning against a barn. It is sliding down the barn at a rate of 3 ft/sec. How fast, in ft/sec, is the foot of the ladder moving away from the wall at the moment that the foot of the ladder is 7 feet from the wall?

Q: A 5 ft long ladder rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let's understand what's going on:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: Let the ladder is k meters. (k=constant) Let the distance of the bottom = x m and distance of the…

Q: A 10​-foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

A: The given data can be expressed in a right triangle as shown below.

Q: A street light is fastened to the top of a 15-ft-high pole. If a 5-ft-tall women walks away from the…

A: In the figure,  AB=15 ft DE=5 ft BD=yDC=xdydt=3 ft/sec

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 ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

A: Given A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

Q: A ladder 10 feet long is leaning against the side of a vertical wall. The bottom of the ladder…

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Q: street light is at the top of a 24 ft pole. A 5 ft tall girl walks along a straight path away from…

A: SOLUTION-

Q: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

A: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

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

A:

Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

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

A:

Q: The top of a 22 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

A:

Q: A 10 ft ladder leans against a wall. If the top of the ladder slides down the wall at a rate of 2…

A:

Q: A ladder 10 feet long is leaning against a wall, with the foot of the ladder 8 feet away from the…

A: To determine the rate at which the ladder is sliding.

Q: A 12-meter plank is leaning against the wall. If the bottom of the plank is pulled away from the…

A: We need to find how fast the plank will move.

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: Let the length of the ladder is L.

Q: The base of a 13 foot ladder that is leaning against a wall begins to slide away from the wa When…

A: It is given that, length of the ladder x = 13 feet,  The distance between the foot of the ladder and…

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

A: Solution..

Q: How fast is the bottom of the ladder moving along the ground

A: The rate of change is represented by derivative. Therefore the solution would be found by using the…

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

A: To find the rate of change of the ladder's top changes with wall

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

A: This problem is based on the application of differentiation.  First we have to write an equation in…

Q: A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A: GivenA 10-ft ladder is leaning against wall .{ HereAB is wallAC is ladder }Let the height of the…

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

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Q: A 50 ft ladder is placed against a wall, as shown below. The base of the ladder is slipping away…

A: Let the horizontal distance of the ladder is = x ft Vertical distance = y ft So, Given that:…

Q: A ladder 20 feet long is leaning against an embankment inclined 60 degrees to the horizontal. if the…

A: The ladder is leaning against an embankment inclined 60 degrees to the horizontal has length 20…

Q: A kite, at a height of 60 ft. is moving horizontally at a rate of 5ft/sec. away from the boy who…

A: From the given information, draw a picture.

Q: A 13-ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A:

Q: A street light is at the top of a 29 ft pole. A 4 ft tall girl walks along a straight path away from…

A: Draw a diagram that illustrates the given information Let x be the distance to the girl from the…

Q: A 30-foot ladder is leaned up against a 2-story building with 8-foot floors. The bottom of the…

A: Consider the diagram below with marked information: Speed of change in base is 6 feet per second.

Q: A 17 ft ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground…

A: x2+y2=172=289Differentiate with respect to 't'2xdxdy+2ydydt=0   xdxdt+ydydt=0

Q: A ladder 20 feet long is leaning against a vertical wall. The base of the ladder is pulled away from…

A: First we formulate an equation involving two variables x and y by using  the Pythagorean theorem…

Q: a kite at a height of 60 ft is moving horizontally at a rate of 5 ft/sec away from the boy who flies…

A: Let boy is at the point A, and when 100 ft cord is released the kite is at the point C, which is…

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

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

A:

Q: A man 6 ft. tall is walking towards a building at the rate of 4 ft./sec. If there is a light on the…

A:

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

A: Given:-  Ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away…

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

A:

Q: A 20-ft ladder is leaning against a wall, and the top of the ladder is sliding down the wall at a…

A: We have been given a 20ft ladder which is leaning against a wall and is sliding down the wall AD.…

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: form a triangle with given information : let BC = x   dxdt=0.5 AB = y  dydt=-0.375  AC = z  dzdt=0…

Q: A 25-foot ladder is leaning against a house. The base of the ladder is pulled away from the house at…

A: Let x be the base of the ladder dxdt=3 feet/sec ladder = z = 25 feet x=7 feet y=252-72=24 feet

Q: A ladder 20 ft long is leaning against an embankment inclined 60° to the horizontal. If the bottom…

A: Let x= distance of ladder from the embankment, y= vertical height. Given: dxdt=-1 ft/sec To find:…

Q: A ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled…

A: A ladder 25 feet long is leaning against a vertical wall. The bottom of the ladder is pulled…

Q: A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Assume length of ladder be l height be h base be b Given l=13 ft b=5ft dbdt=2ft/sec

Q: A 22-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Leader is leaning against wall at AC=22 ft. Distance of the ladder from the wall is x=15 ft. Let the…