Home
Class 12
MATHS
A ladder of length 20 feet rests against...

A ladder of length 20 feet rests against a smooth vertical wall. The lowerend, which is on a smooth horizontal floor is moving away from the wall at the rate of 4 feet/sec. If the lower end is 12 feet away from the wall, then the rate at which the upper end move, is

A

`(16)/(3)" ft/sec"`

B

`(-16)/(3)" ft/sec"`

C

3 ft/sec

D

`"-3" ft/sec"`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

A ladder 10m long rest against a vertical wall with the lower end on the horizontal ground. The lower end of the ladder is pulled along the ground away from the wall at the rate of 3 cm/sec. The height of the upper end while it is descending at the rate of 4 cm/sec is

A ladder 10 m long rests against a vertical wall with the lower end on the horizontal ground. The lower end of the ladder is pulled along the ground away from the wall at the rate of 3 m/s. The height of the upper end while it is descending at the rate of 4 m/s, is

A ladder of length 17m rests with one end agains a vertical wall and the other on the vessel ground. If the lower end slips away at the rate of 1ms^(-1) , then when it is 8m away from the wall, its upper end is coming down at the rate of

A ladder 10 metres long rests with one end against a vertical wall, the other on the floor. The lower end moves away from the wall at the rate of 2 metres/minute. The rate at which the upper end falls when its base is 6 metres away from the wall

A ladder is 2m long has lower end on the ground and the other end in contact with a vertical wall. The lower end slips along the ground. If upper end is moving downward at the rate of 25cm//sec and whn upper end of ladder is 1m above the ground, then the rate at which lower end ot the ladder is sliding on the ground is

A ladder 5 m in length is resting against vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of 1.5m/sec. The length of the highest point of the ladder when the foot of the ladder 4.0 m away from the wall decreases at the rate of

A uniform ladder of mass 10 kg leans against a smooth vertical wall making an angle of 53^0 with it. The other end rests on a rough horizontal floor. Find the normal force and the frictional force that the floor exerts on the ladder

A ladder 10m long rests against a vertical wall. If the foot of the ladder is 6m away from the wall and the ladder just reaches the top of the wall, how high is the wall?

A ladder rests against a vertical wall at angle alpha to the horizontal . If is foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making the angle beta with the horizontal , then a =

A ladder 20 ft long leans against a vertical wall. The top end slides downwards at the rate of 2 ft per second. The rate at which the lower and moves on a horizontal floor when it is 12 ft from the wall is

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. A point source of light is hung 30 feet directly above a straight hori...

    Text Solution

    |

  2. A point source of light is hung 30 feet directly above a straight hori...

    Text Solution

    |

  3. A ladder of length 20 feet rests against a smooth vertical wall. The l...

    Text Solution

    |

  4. A ladder 10 m long rests against a vertical wall with the lower end on...

    Text Solution

    |

  5. Aladder of 5 m long rest with one end against a vertical wall of heigh...

    Text Solution

    |

  6. A ladder is resting with a vertical wall at an angle of 30^(@). If a m...

    Text Solution

    |

  7. For a gas equation PV=100, volume V is 25 cm^(3), pressure P is measur...

    Text Solution

    |

  8. A ship starts from a port at 12 noon and travels due east with a speed...

    Text Solution

    |

  9. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  10. The length x of a rectangle is increasing at the rate of 3 cm/sec. and...

    Text Solution

    |

  11. The side of a square is increasing at the rate of 0.5 cm/sec. Find the...

    Text Solution

    |

  12. The sides of a square area is increasing at the rate of 0.5 cm/sec. If...

    Text Solution

    |

  13. A square plate is contracting at the uniform rate of 2 cm^(2)//sec. If...

    Text Solution

    |

  14. If the rate of change of area of a square plate is equal to that of th...

    Text Solution

    |

  15. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  16. The edge of a cube is decreasing at the rate of 0.04 cm/sec. If the ed...

    Text Solution

    |

  17. एक घन के आयतन 8 cm ^3 //s की दर से बढ़ रहा है पृष्ठ क्षेत्रफल किस द...

    Text Solution

    |

  18. If the radius of a circle is 2 cm and is increasing at the rate of 0.5...

    Text Solution

    |

  19. Find the rate of change of the area of a circular disc with respect...

    Text Solution

    |

  20. The radius of a circular blot of oil is increasing at the rate of 2 cm...

    Text Solution

    |