Home
Class 12
MATHS
A ladder 10 m long rests against a verti...

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

8 meters

B

6 meters

C

`4sqrt(3)` meters

D

`5sqrt(3)` meters

Text Solution

Verified by Experts

The correct Answer is:
B
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 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 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 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 5m long is leaning against a wall. The bottom of the ladder is pulled along the ground,away from the wall,at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4m away from the wall?

A ladder 5m long is leaning against a wall. The bottom of the ladder is pulled along the ground,away from the wall,at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4m away from the wall?

A ladder 13m long leans against a wall. The foot of the ladder is pulled along the ground away from the wall, at the rate of 1.5m/sec. How fast is the angle theta between the ladder and the ground is changing when the foot of the ladder is 12m away from the wall.

A ladder 10m long is leaning against a vertical wall, it makes an angle of 60° with the ground.How far is the foot of the ladder from the wall?

A ladder 5m long is leaning against a wall. The foot of the ladder is pulled out along the ground away from from the wall at a rate of 2 m//s . How fast is the height of ladder on the decreasing at the instant when the foot of the ladder is 4 m away from the wall?

A 13-m long ladder is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 m/s. How fast is its height on the wall decreasing when the foot of the ladder is 5m aways from the wall ?

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |