# leaning ladders- a nasty quartic Two ladders leaning in opposite directionsbetween two walls.Each ladder touching the base of the opposite wall Ladders are 40 ft and 60 ft respt. cross at hy of 10 ft , h, what is the

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leaning ladders- a nasty quartic Two ladders leaning in opposite directionsbetween two walls.Each ladder touching the base of the opposite wall Ladders are 40 ft and 60 ft respt. cross at hy of 10 ft , h, what is the distance tween walls w ?
2. ### MATH

Two extension ladders are leaning at the same angle against a verticl wall. The 3-m ladder reaches 2.4m up the wall. How much farther up the wall does the 8-m ladder reach?
3. ### Math

Nasreen is designing an obstacle course that includes two ladders leaning against a pole. In order for the ladders to fit in the obstacle course, one ladder must span 1.6 m horizontally and the other must span 5 m horizontally. She already has one 4.3-m ladder. How long must ...
4. ### Math 9

2 extension ladders are leaning at the same angle against a vertical wall. The 3 meter ladder reaches 2.4 meters up the wall. How much farther up the wall does the 8 meter ladder reach?
5. ### Math

a ladders 20m long touch a wall at height of 10m find the angel made by ladders ...
6. ### Physics

A 15 ft plank of mass 50 kg is laid across two ladders. The ladders are 5 ft apart, and the plank is laid such that 5 ft of it hang off at each end. You have a mass of 90 kg. (a) How far out past the ladder can you walk before it gets dangerous? I tried doing m1r1=m2r2 (33.33...
7. ### Physics

A uniform 4m plank with a mass of 45 kg is supported at its ends by two ladders. Two 75 kg men are standing on the plank. One is 1 m from one end and the other is 1.5 m from the other end. Determine the forces exerted by the ladders.
8. ### Math

Two ladders are the same distance from the base of a wall. The longer ladder is 15m long and makes an angle of 58 with the ground. if the shorter ladder is 12.6m long, what angle does it make with the ground?

The ladders shown below are standing against a wall at the same angle.How high up the wall does the longer ladder go?(All meausurements are in feet.) The long side of the big ladder ie 30 and the other side is X. Smaller ladder is 24 and 10. A.11.25ft B.12.5ft C.14 ft D.14ft ...
10. ### mathematics

a ladders 20m long touch a wall at a height of 10 m find the angel made by ladder with horizontal .
11. ### Math - Trig

1. Find the altitude of an isocles triangle having base 184.2 cm if the angle opposite the base is 68deg 44' 2. A 13.5m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the top of the fire truck) if the ladder makes an angle ...
12. ### math

The ladders shown below are standing against the wall at the same angle. How high up the wall does the longer ladder go? (All measurements are in feet.) ladders 11.25 ft 12.5 ft 14 ft 14 ft 2. The pair of polygons is similar. Find the value of x. polygons 187.5 in. 12 in. 30 ...
13. ### Calc.

A ladder 25ft long is leaning against the wall of a house. The ladder is pulled away from the wall at a rate of 2 ft per second. How fast is the top of the ladder moving down the wall when its base is 7ft from the wall?
14. ### math

3. Suppose a ladder is 12 ft. long. The base of the ladder is 5 ft. from a wall, and the top of the ladder is leaning against the wall. How far above the ground is the tip of the ladder?
15. ### Geometry

A 20 foot ladder is leaning aagainst a wall the base of the ladder is 7 feet away from the.wall hkw high up the wall will the ladder reacb
16. ### Geometry

A 20 foot ladder is leaning aagainst a wall the base of the ladder is 7 feet away from the.wall hkw high up the wall will the ladder reacb
17. ### maths

a 4m ladder is leaning against a wall when its base starts to slide away. By the time the base is 2m from the wall, the base is moving at the rate of 1m/sec. find a) the speed at which the top of the ladder is sliding down the wall b) the rate at which the area of the triangle...
18. ### Geometry

The angle of elevation of a ladder leaning against a wall is 45°. If the distance from the base of the ladder to the wall is 15 feet, find the length of the ladder.
19. ### Math

The base of a ladder leaning against a house is 30ft from the wall. if the ladder reaches 40ft high on the wall , how long is the ladder?
20. ### Math

A 6m ladder is leaning against a wall. The base of the ladder is 1.5m from the wall. Calculate the angle (to the nearest tenth) formed between the ladder and the ground.
21. ### geometry

A ladder leaning against a vertical wall makes a angle of 75degree with the ground. If the foot of the ladder is 4 feet from the base of the wall, would this ladder be long enough for you to retrieve the suction dart that your friend stuck 17ft up the wall?
22. ### Calculus

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet?
23. ### Math

A 6 m ladder is leaning against the wall of a house The angle between the ladder and the ground Is 60 degrees . How far away is the ladder from the wall? How high up the house does the ladder reach? Give your answers accurate to two decimal places
24. ### Math

A 6 m ladder is leaning against the wall of a house. The angle between the ladder and the ground is 68 degrees. How far away is the ladder from the wall.? How high up the house does the ladder reach ? Give your answers accurate to two decimal places.
25. ### Math - Trigonometry

A 2m long ladder leaning against a wall makes an angle of 38 degrees with the wall. how far is the base of the ladder from the wall?
26. ### Math

An 82 foot ladder is leaning against a wall. The is 18 feet from the base of the wall. How high above the ground does the ladder touch the wall?
27. ### pythagoras theorem

a ladder is leaning against a wall. it reaches 2.5cm up the wall and its foot is 1.2m from the base of the wall. how long is the ladder to one decimal point
28. ### Calculus

A ladder is leaning against the wall of a house.The base of the ladder is pulled away from the wall at a rate of 2ft/sec (b) Consider the triangle formed by the side of the house ,theladder, and the ground. Find the rate at which the triangle is changing when the base of the ...
29. ### math

Two motorcycles are at the two ends of a road right next to a wall behind them (walls and road are perpendicular. They start heading towards one another in the opposite directions on two straight and parallel lines.Each vehicle has a constant velocity but one is faster. They ...
30. ### math

a wall is 5 m. a ladder is leaning against it, which is 3 m. express the height from the top of the ladder above the ground as a function of how far the foot of the ladder is from the base of the wall. 3^2= base^2+ height^2 base= sqrt (9-height^2)
31. ### Trigonometry

a 20ft. ladder is leaning against a wall so that the foot of the ladder is 9ft. from the buss of the wall what angle does the ladder make with the ground? what is the distance from the top of the ladder to the base of the house? based in trigonometry
32. ### calculus

A 13 foot ladder leaning against a wall makes an angle of degree radians with the ground. The base of the ladder is pulled away from the wall at a rate of 2ft/sec. How fast is degree changing when the base of the ladder is 5 feet way.
33. ### Math

Suppose there is a 10 meter ladder leaning against the wall of a building and the base of the ladder is sliding away from the building at a rate of 3 meters per second. How fast is the top of the ladder sliding down the wall when the base of the ladder is 8 meters from the wall?
34. ### Math

A 12-foot ladder is leaning against a wall. The base of the ladder is 4 feet from the wall. How tall is the wall?
35. ### algebra

a ladder is leaning up against a wall. The ladder is 8 feet long and is 3 feet away from the base of the wall. find the angle the ladder makes with the wall.
36. ### algeba

A ladder is leaning against a building. The base of the ladder is 8 feet from the wall, and the top of the ladder reaches 6 feet up the wall. How long is the ladder?
37. ### physics

A painter climbs a ladder leaning against a smooth wall. At a certain height, the ladder is on the verge of slipping. Let the mass of the painter be 85.0 kg, length = 5.80 m, the ladder’s mass to be 37.0 kg, è = 51.0°, and the coefficient of friction between ground and ...
38. ### Calculus

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. a) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at which the area of the triangle ...

A painter climbs a ladder leaning against a smooth wall. At a certain height, the ladder is on the verge of slipping. Let the mass of the painter be 69.0 kg, length = 2.80 m, the ladder’s mass to be 21.0 kg, θ = 57.0°, and the coefficient of friction between ground and...
40. ### math

A 9ft. Ladder is leaning against a wall and make a 50 degree angle with the ground. How far is the ladder from the base of the wall.
41. ### Geometry

A 12-foot ladder is leaning against the outside wall of a building. The angle of the ladder with the ground is 75 degrees. The ladder is moved so that the base of the ladder is 5.8 feet from the wall. Determine the angle created by the ladder and the ground after the move. ...
42. ### Math

A ladder is needed to reach the top of a second floor window, A distance of 20 feet above the (level) ground. According to the directions on the ladder, the distance between the bottom of a leaning ladder and the base of the (vertical) wall it is leaning up against should be ...
43. ### Math

If a wall is 6th tall and a ladder is leaning against it. The ladder is 8th tall, how far apart is is the base of the ladder away from the wall?
44. ### Pre-Algebra

A 9 foot ladder leans against a building at a point 7 feet above the ground. At what height would a 15 foot ladder touch the building if both ladders for the same angle with the ground? Propotion? But I just get a decimal...
45. ### Calculus

A ladder a = 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of b = 4 feet/second. Consider the triangle formed by the side of the house, the ladder, and the ground. Find the rate at which the area of the ...
46. ### Calculus

The top of a 24 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 4 feet per second. How fast is the bottom of the ladder sliding along the ground when the bottom of the ladder is 7 feet away from the base of the wall?
47. ### math

a 10 foot ladder is leaning againts a wall the base of the ladder is 2 feet from the base of the building, how far up the building does the ladder fall?
48. ### math

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?
49. ### Math

0-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall
50. ### math

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?
51. ### math

A 5-foot ladder is leaning against a 4-foot wall. How far must the bottom of the ladder be from the base of the wall so that the top of the ladder rests on the top of the wall?
52. ### Math

A ladder is leaning up against a wall. The ladder touched the wall 5ft up. The ladder is 6ft Long. A) Draw a picture and label all of the values B) What is the angle that is made between the ladder and the ground? C) How far away from the wall is the ladder where it touches ...
53. ### urgent calculus help please

A 20m long ladder is leaning against a wall. The top of the ladder is sliding down the wall at a constant speed of 2m/s. How quickly is the bottom of the ladder moving away from the wall when the bottom of the ladder is 5m from the wall? Give your answer as an exact expression.
54. ### calculus

1) A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. Find the rate at which the are of the triangle is changing when the base of the ladder is 7 feet from the wall. --- I did the ...
55. ### plane and spherical trigonometry

a ladder 38 feet long is leaning against the side of a wall. if the angle between the ladder and the wall is 54 (degrees) approximately how far is the bottom of the ladder from the wall?
56. ### Nait

The top of a 12 foot long ladder is leaning against a wall with the top of the ladder 8 feet above the ground.The bottom of the ladder will be _______ feet from the base of the wall
57. ### algebra 1

if you have a 10ft ladder placd leaning against the wall,and the ladder is 6ft from the wall.how high does the ladder reach on the wall?
58. ### calculus

A 13 foot ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft. from the house, the base is moving at the rate of 10ft./s. How fast is the top of the ladder sliding down the wall then?
59. ### Math

Suppose you have a ladder leaning vertically on a wall, and the ladder slips down along the wall to the floor. Consider the point in the center of the ladder. What curve will it draw in the air as the ladder slides down the wall?
60. ### 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 the ladder from the wall when the foot is 6 ...
61. ### math

a ladder leaning against a wall makes a 60 degree angle with the ground. the base of the ladder is 4m from the building. how high above the ground is the top of the ladder?
62. ### GEOMETRY

3. A ladder leaning against a wall makes a angle with the ground. The base of the ladder is 4 meters from the building. How high above the ground is the top of the ladder?
63. ### Analytical Geometry

A 10 foot long ladder is leaning against a vertical wall with the top of the ladder 8ft from the ground. What is the slope of the ladder? How far is the foot of the ladder from the wall? Can a 6 foot tall man walk under the ladder 1 foot from the wall? Justify your answer.
64. ### mathematic

A ladder 10 meter long is leaning against a wall. If the top of the ladder is sliding down the wall at 3m/s, how fast is the angle between the top of the ladder and the wall changing when the foot of the ladder is 6 meter away from the wall?
65. ### MATH

A LADDER IS LEANING AGAINST THE WALL. IF THE LADDER REACHES A HEIGHT OF 12M UP THE WALL AND HAS ITS FOOT 5M AWAY FROM IT ,CULCULATE THE LENGTH OF THE LADDER?
66. ### MATH

A LADDER IS LEANING AGAINST THE WALL. IF THE LADDER REACHES A HEIGHT OF 12M UP THE WALL AND HAS ITS FOOT 5M AWAY FROM IT ,CULCULATE THE LENGTH OF THE LADDER?
67. ### maths

A ladder leaning against a wall makes an angle 60 with the horizontal if the foot of the ladder is the 2.5m away from the wall find the length of the ladder
68. ### Maths

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.
69. ### Math

A 15 ft ladder is leaning against the wall. The top of the ladder reaches 10ft up the wall. What is the angle that the ladder makes with the ground?
70. ### science

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground at rate 2 cm/s . How fast is its height on wall decreasing when foot of ladder I'd 4 m
71. ### Math

the angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 5.8m away from the wall. The length of the ladder is?
72. ### Physics

A 30-kg uniform ladder 12 m long is leaning against a frictionless wall at an angle of 50 degrees above the horizontal. A 45-kg boy climbs 5.0 m up the ladder. What is the magnitude of the force exerted by the ladder on the wall?
73. ### math

Suppose a 25-foot ladder is leaning against a wall making a 63 degree angle with the wall. How high up th wall is the end of the ladder?
74. ### algebra II

can someone please explain how to do this problem: A twelve-foot ladder is leaning against a wall. If the ladder reaches 8 ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree? 1. 36° 2. 42° 3. 48° 4. 54°
75. ### geometry

a ladder is 15 ft long and is leaning against the wall. the top of the ladder is 12 feet above the ground. find the distance from the bottom of the ladder to the wall. draw and label a picture and show work....
76. ### Calculus

A 40-foot ladder is leaning against a house when its base starts to slide away. By the time the base is 32 feet from the house the base is moving at a rate of 4ft/sec. a. How fast is the top of the ladder moving down the wall at that moment? b. At what rate is the area of the ...
77. ### 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 when it is 18 feet from the wall.
78. ### 12th Calculus

a 13-ft ladder is leaning against a wall. suppose that the base of the ladder sides away from the wall at the constant rate of 3ft/sec 1. explain why the motion of the two ends of the ladder can be represented by the parametric equations: x1(t)=3t, y2(t)=0 x2(t)=0, y2(t)= ...
79. ### Caculus

A ladder is 25 feet long and leaning against a vertical wall at 3 ft/sec. Suppose we wish to determine how fast the top of the ladder is sliding down the wall when the bottom is 15 ft from the wall Thank you!
80. ### Physics

A ladder ABC of length 20m is leaning against a wall at an angle from the horizontal. There is a roller at the top of the ladder that rests against the vertical wall. The coefficient of friction between the ladder and the horizontal surface at A is 0.5. Determine: (a) the ...

"A 13-foot ladder is leaning against a building when its base begins to slide away from the base of the building. By the time the base is 12 feet from the building, the base is moving at the rate of 6 ft/sec. How fast is the top of the ladder sliding down the wall at that ...
82. ### Geometry

I am leaning a ladder against a wall. The ladder is 18 ft long, and I place the bottem of the ladder away from the wall, forming a 48° angle. How far away is the bottem of the ladder from the wall?
83. ### math

A ladder is leaning against a wall. It touches the wall 60 feet from the ground. The bottom of the ladder is 20 feet from the wall . What is the Slope of the ladder ?
84. ### Calculus

a ladder 6m long is leaning against a wall. if the top of th ladder is slipping down at th rate of 13 m/s, how fast is the bottom moving away from the wall when it is 5m from the wall? (answer in m/s) Please Help Before 230 pm central time
85. ### geometry

a ladder leaning against a vertical wall has its top 8m from the level ground and whose foot is 4m from the wall.how long is the ladder?
86. ### Math

a 10 foot ladder is leaning against a wall at a 40 degree angle. how far up the wall does the ladder reach?
87. ### Math

A 13 foot ladder is leaning against a vertical wall. The distance from the top of the ladder to the bottom of the wall is 7 feet longer than the distance from the bottom of the ladder to the bottom of the wall. Find how high the top of the ladder reacher on the side of the wall.
88. ### Math

A 20 foot ladder is leaning against the side of a building. The bottom of the ladder is 4 feet from the wall. How many feet above the ground does the ladder touch the wall?
89. ### Calculus

A 17 foot ladder is leaning against a wall. The bottom of the ladder is moving out away from the wall at 0.6 feet per second. The top of the ladder then begins sliding down the wall. How fast is the top of the ladder going when the bottom is 8 feet away from the wall?
90. ### maths

A ladder, leaning against a wall, makes an angel 60¡ã with the horizontal. If the foot of the ladderis 2.5 m away from the wall, find the length of the ladder
91. ### Maths

A15- foot ladder is leaning against a 30- foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall. Can someone please help me with this question
92. ### physics

A ladder can fall for two reasons. If it is set too steep and the climber gets their mass to the left of the ladder's base, the ladder likely will fall over backwards. If the ladder is set at too shallow of an angle the required force of friction between the ladder and the ...
93. ### physics

A uniform ladder 10.0 m long is leaning against a frictionless wall at an angle of 60.0° above the horizontal. The weight of the ladder is 21.8 lb. A 57.8-lb boy climbs 4.38 m up the ladder. What is the magnitude of the frictional force exerted on the ladder by the floor?
94. ### physics

A uniform ladder 10.0 m long is leaning against a frictionless wall at an angle of 60.0° above the horizontal. The weight of the ladder is 18.4 lb. A 60.8-lb boy climbs 4.18 m up the ladder. What is the magnitude of the frictional force exerted on the ladder by the floor?
95. ### pre alg

a 9 ft ladder is leaning against a wall so that Adam can hang a picture 7.5 ft above the floor. how far does the ladder need to be placed from the wall?
96. ### Calculus

A 12' ladder is leaning against a wall making an angle theta with the ground. The ladder begins to slide down the wall. what is the rate of change of the height of the ladder, h, with respect to the change in the angle of the ladder with the floor when the ladder reaches a ...
97. ### Calculus

A 12-ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder away from the wall at the rate of 0.5ft/s. What is the configuration of the ladder at the instant that the vertical speed of the top of the ladder equals the horizontal speed of ...
98. ### Static Equilibrium

This has been causing me some pain. An 89.03 kg person is half way up a uniform ladder of length 3.453 m and mass 22.75 kg that is leaning against a wall. The angle between the ladder and the wall is θ. The coefficient of static friction between the ladder and the floor ...
99. ### CALCULUS HELP!!

I haven't done this type of problem in a while, so if someone can just show me how to set it up, I can figure out the rest. (: "A 13-foot ladder is leaning against a building when its base begins to slide away from the base of the building. By the time the base is 12 feet from...
100. ### math

A 35-foot long ladder is leaning against the wall of a building.How far from the ground is the top of the ladder and how far from the base of the building is its foot if it makes a 20 degrees angle with the wall?