1. math

    Marvin has a 27-foot ladder. Safety standards dictate that the base of a 27-foot ladder should be placed 7 feet from a vertical wall. How far above the ground will the top of the ladder be on the wall, in feet? Round your answer to the nearest hundredth.
  2. Trigonometry

    The Consumer Product Safety Commission recommends that the base of a ladder should be set out 1 foot from a wall for every 4 feet of vertical rise. a. What angle will a ladder so situated make with the ground? b. If Joe follows these recommendations, how far up the wall (...
  3. 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.
  4. 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 at the instant the foot of the ladder is 4m ...
  5. Math- Calculus

    A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall? b) Find the rate of change at which the angle between the ladder and the ...
  6. Math- Calculus

    A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall? b) Find the rate of change at which the angle between the ladder and the ...
  7. Math- Calculus

    A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall? b) Find the rate of change at which the angle between the ladder and the ...
  8. Math- Calculus

    A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall? b) Find the rate of change at which the angle between the ladder and the ...
  9. 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 ...
  10. College Alegebra

    a 23 foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 18 feet from the base. how high up the wall does the ladder reach?
  11. 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?
  12. algebra

    an 18-foot ladder leans against the wall of a building. the base of the ladder is 9 feet from the bulding on level ground.how many feet up the wall,to the nearest tenth of a foot,is the ladder?
  13. Trigonometry

    A painter wants to lean a 30-foot ladder against a wall. Safety guidelines recommend that the distance between the base of the ladder and the wall should be 1/4 of the length of the ladder. To the nearest degree, what acute angle should the ladder make with the ground? Enter ...
  14. 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?
  15. 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. ...
  16. math

    a 14 foot ladder placed against a vertical wall of a building with the bottom of the ladder standing on level ground 9 feet from the base of the building. how high up the wall does the ladder reach?
  17. Math

    A 10-FOOT LADDER IS PLACED AGAINST A VERTICAL WALL OF A BUILDING, WITH THE BOTTOM OF THE LADDER STANDING ON LEVEL GROUND 6 FEET FROM THE BASE OF THE BUILDING. How HIGH UP THE WALL DOES THE LADDER REACH?
  18. math

    A 19 ​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 13 feet from the base of the building. How high up the wall does the ladder​ reach?
  19. math

    A 10 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8 feet from the base of the building. How high up the wall does the ladder reach.
  20. math

    a 15 foot ladder is placed against a vertical wall of a building with the bottom of the ladder stand on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?
  21. Math

    A 15-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?
  22. 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 is 5 m from the wall?
  23. geometry

    A 25-foot ladder is placed against a vertical wall of a building. The base of the ladder is 7 feet from the base of the wall. If the top of the ladder slips 4 feet, how many feet will the base of the ladder slide?
  24. Math Calculus

    The foot of a 30-foot 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?
  25. math

    A ladder 10 m long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at 2 m/s. How fast is the top sliding down the wall when the foot of the ladder is 6m from the wall?
  26. math word problem

    sam needs to clean the window on his house. he has a 25-foot ladder and places the base of the ladder 10 feet from the wall of the house. A) how high up the wall will the ladder reach? B) if his windows are 20 feet above the ground, what is the farthest distance the baes of ...
  27. geometry/trig

    Initially a fifty foot ladder rests against a wall. As I start to climb it, the ladder slides down, finally stopping such that the ladder touches the wall at a point 8 feet below where it originally touched the wall. During the slide, the base of the ladder slid 16 feet from ...
  28. 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 ...
  29. 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
  30. Math Algebra

    A 10 foot ladder is to be placed against the wall, the base of the ladder must be placed at an angle of 72 degrees with the level ground for secure footing find to the nearest in how far the base of the ladder should be from the wall the ladder will reach? base distance= 10 ...
  31. Pre-Calculus

    A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the ladder to the nearest ...
  32. Calculus

    A 10 foot ladder leans against a 20 foot wall. Someone begins pushing the base of the ladder toward the wall at the rate of one foot per second. How quickly is the top of the ladder moving up the wall after 2 seconds?
  33. College Calculus

    A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away at a rate of 2 feet per second, how fast is the area of the triangle formed by the wall, the ground, and the ladder changing when the bottom is 12 feet away from the wall?
  34. geometry

    A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Find the angle formed between the ladder and the ground.
  35. Calculus--Please Help!

    A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away at a rate of 2 feet per second, how fast is the area of the triangle formed by the wall, the ground, and the ladder changing when the bottom is 12 feet away from the wall?
  36. Maths

    A ladder, 6m long rests against a wall. The foot of the ladder is 2.5m away from the base of the wall. The ladder has a 'safe angle' with the ground between 60(degrees) and 70(degrees). what are the safe limits for the distance of the foot of the ladder to the wall.
  37. geometry

    11 11​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 7 7 feet from the base of the building. How high up the wall does the ladder​ reach?
  38. 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.
  39. math

    a 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 16ft from the base of the building. how high up the wall does the ladder reach?
  40. Maths

    a ladder 25ft long leans against a wall with its foot on level ground 7ft from the base of the wall. If the foot is pulled away from the wall at the rate 2 ft/s express the distance (y) of the top of the ladder above the ground as a function of the time, t seconds in moving
  41. Math

    If an 8-foot ladder is leaned against a wall with its foot braced 4 feet from the wall’s base, how far up the wall will the top of the ladder reach? Round to the nearest hundredth.
  42. 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?
  43. math

    A ladder is resting against a wall. the foot of the ladder is 8 feet from the wall, and the top of the ladder is 19 feet from the ground. FIND THE slope of the ladder
  44. 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
  45. Math

    A roofer must set up a 40-foot ladder against the side of a house. He sets the ladder so that the distance from the base of the ladder to the wall is 1/5 of the length of the ladder. To the nearest degree, what acute angle does the ladder make with the ground? (Hint: Sketch ...
  46. 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 foot of the ladder is 12 meters from the wall.
  47. physics

    A person using a ladder supported on vertical wall is 3/4 of the way up the ladder. If the person climbing the ladder has a weight of 980 newtons and the ladder is 4.89 meters long, how far from the wall can the base of the ladder be placed, and not slip? The coefficient of ...
  48. physics

    A person using a ladder supported on vertical wall is 3/4 of the way up the ladder. If the person climbing the ladder has a weight of 980 newtons and the ladder is 4.89 meters long, how far from the wall can the base of the ladder be placed, and not slip? The coefficient of ...
  49. physics

    A person using a ladder supported on vertical wall is 3/4 of the way up the ladder. If the person climbing the ladder has a weight of 980 newtons and the ladder is 4.89 meters long, how far from the wall can the base of the ladder be placed, and not slip? The coefficient of ...
  50. Math

    A 25-foot ladder stands against a vertical wall at an angle of n degrees with the ground. If sin n = 4 / 5, how far is the base of the ladder from the wall? A. 12 B. 13 C. 14 D. 15 E. 16
  51. math,trigonometry

    a 35-foot long ladder is leaninig 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 buildings is its foot if it makes a 20° angle with the wall ?
  52. Math

    you need to clean the gutters of your home. the gutters are 24 FT above the ground. for safety, the distance a ladder reaches up a wall should be four times the distance from the bottom of the ladder to the base of the side of the house. Therefore the ladder must be 6 ft from ...
  53. 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?
  54. Geometry

    one ladder is 7.2 feet longer than another. each is placed on level ground with its lower ends 8.3 ft from the the foot of a vertical wall. the longer ladder reaches 9.1 ft farther up the wall. how long is the longer ladder?
  55. Doral Middle

    phillip has a 40-foot ladder that is placed 11 feet from a vertical wall. hw far above the ground will the top of the ladder be on the wall, in feet?
  56. math

    the top of a ladder 6 m long is resting against a vertical wall on a level pavement, when the ladder begins to slide outwards. At the moment when the foot of the ladder is 4 m from the wall, it is sliding away from the wall @ 0.5m/sec. How far is the foot from the wall when it...
  57. 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
  58. 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
  59. Calculus

    The top of a 13 foot ladder is sliding down a vertical wall at a constant rate of 4 feet per minute. When the top of the ladder is 5 feet from the ground, what is the rate of change of the distance between the bottom of the ladder and the wall
  60. algebra

    a 13- foot ladder is placed so that it reaches to a point on the wall that is 2 feet higher than twice the distance from the base of the wall to the base of the ladder. How high does the ladder reach?
  61. algebra

    A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet and the length of the ladder is one foot more than twice the distance from the wall. Find the distance from the wall to the bottom of the ladder. (Hint: Use the Pythagorean ...
  62. 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 ...
  63. 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
  64. math

    A ladder is leaning against the side of a house and forms an angle of 66o with the ground. The foot of the ladder is 11.3 feet from the base of the house. Find the length of the ladder to the nearest foot.
  65. Geometry/ SAT Math

    This was an SAT question of the day, but I can't figure out how to come up with the right answer, I think you use Pythagoras Theorum but I'm not sure. Can anyone help with the process here? A 25-foot ladder is placed against a vertical wall of a building, with the bottom of ...
  66. Math

    A 5 feet long ladder leans against a wall and makes an angle of 65 degrees with the ground. find, to the nearest tenth of a foot, the distance from the wall to the base of the ladder.
  67. 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?
  68. Algebra

    An 11 foot ladder needs to be positioned so that the top of the ladder is 10 feet above the base of the outside wall of the house. How far should the bottom of the ladder be placed from the base of the wall?
  69. 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? [Note: The ladder is protruding over the top of ...
  70. 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? [Note: The ladder is protruding over the top of ...
  71. Math - Calculus

    A 13 foot ladder is sliding down a vertical wall at 1 ft/sec. How fast is the base of this ladder moving on a horizontal ground after 5 seconds?
  72. geometry

    An 18 foot ladder is leaned against a wall .if the base of the ladder is 8 feet from the wall,how high up on the wall will the ladder reach?
  73. Basic math

    A 15 foot ladder propped against a wall the base of the ladder is 3 feet from the wall how far up the wall does the ladder reach.
  74. algebra

    a 17-foot ladder leans against a wall. if the ladder is 8 feet from the base of the wall, how far is it from the bottom of the wall to the top of the ladder
  75. College Algebra

    A ladder is 1 foot longer than its vertical heigt along the side of the house. The distance of the base of the ladder from the house is 7 feet less than its vertical height from the ground. How far up the house does the ladder reach?
  76. College Physics

    A 75.0 kg ladder that is 3.00 m in length is placed against a wall at an angle theta. The center of gravity of the ladder is at a point 1.20 m from the base of the ladder. The coefficient of static friction at the base of the ladder is 0.800. There is no friction between the ...
  77. Trig

    The foot of a ladder is on level ground 1.5m from a wall. The ladder leans agents the wall. The angle formed by the ladder and the ground is 70 degrees. Calculate how high up the wall the ladder reaches.
  78. math

    A ladder rests against a vertical pole. The foot of the ladder is sliding away from the pole along horizontal ground. Find the inclination of the ladder to the horizontal at the instant when the top of the ladder is moving 3 times as fast as the foot of the ladder.
  79. math

    A ladder rests against a vertical pole. The foot of the ladder is sliding away from the pole along horizontal ground. Find the inclination of the ladder to the horizontal at the instant when the top of the ladder is moving 3 times as fast as the foot of the ladder.
  80. maths

    When one end of a ladder,LM,is placed against a vertical wall at a point 5m above the ground,the ladder makes an angle of 37° with the horizontal ground. 1. Represent the information in a diagram 2. Calculate, correct to 3 significant figure,the length of the ladder. 3. If ...
  81. college algebra

    A contractor leans a 23-foot 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 nearest tenth of a foot?
  82. math

    A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground? A) 37° B) 47° C) 53° D) 60°
  83. calculus

    A ladder 29 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. Meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. When the firefighter has climbed up 6 feet of the ladder, the ladder makes an ...
  84. mechanics

    A man begins to climb up a 12-ft ladder . The man has mass 80 kg, while the ladder has mass 10 kg. The wall against which the ladder rests is very smooth, which means that the tangential (vertical) component of force at the contact between ladder and wall is negligible. The ...
  85. Math

    A 6m ladder leans against a wall. The foot of the ladder is placed at an angle of elevation at 63 degrees with the ground. How far is the foot of the ladder from the wall?
  86. Complex Physics Problem

    A ladder can fall for two reasons. If it is set too steep and 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 ground ...
  87. 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 ...
  88. Math

    A ladder is in a safe position if the height it reaches on the wall is four times the distance of the base from the wall. To the nearest tenth of a foot, find the length of the following ladder. The ladder must reach a 16-foot height.
  89. 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? [Note: The ladder is protruding over the top of ...
  90. math

    A ladder 29 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. Meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. When the firefighter has climbed up 6 feet of the ladder, the ladder makes an ...
  91. 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?
  92. 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?
  93. math

    a 25 foot ladder leans against the wallit touches the wall 24 feet off the ground if you slide the base of the ladder back 10 feet off the ground how far does it slide down the wall?
  94. math

    a 25 foot ladder leans against the wallit touches the wall 24 feet off the ground if you slide the base of the ladder back 10 feet off the ground how far does it slide down the wall?
  95. 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
  96. geometry

    You are buying a ladder for your 30-foot-tall house. for safety, you would like to ensure that the base of the ladder be placed at least 8 foot from the base of the house. What is the shorest ladder you can buy in order to be able to reach to top of your house?
  97. Algebra 1

    A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet and the length of the ladder is one foot more than twice the distance from the wall. Find the distance from the wall to the bottom of the ladder. (Hint: Use the Pythagorean Theorem.)
  98. Calculus

    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 ...
  99. Calculus

    Suppose a ladder of length 36 feet rests against a wall, and we pull the base of the ladder horizontally away from the wall. For a given distance x that we pull the ladder horizontally, let g(x) be the height of the ladder on the wall, under the assumption that the other end ...
  100. MAth

    A 13 foot ladder is resting against the wall. The bottom is initially 10 feet away from the wall and is being pushed towards the wall at a rate of 0.25 ft/sec. How fast is the top of the ladder moving up the wall 20 seconds after we start pushing? Hint: the hypotenuse (ladder...
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