Home
Class 12
MATHS
A ladder 13m long leans against a 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.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos
  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

Similar Questions

Explore conceptually related problems

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground,away from the wall at the rate of 10 cm/s. How fast is the angle between the ladder and the ground decreasing when the foot of the ladder is 2 m away from the wall?

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground,away from the wall at the rate of 10 cm/s. How fast is the angle between the ladder and the ground decreasing when the foot of the ladder is 2 m away from the wall?

A ladder 13 m long is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of 4 m/sec. Find the rate of decreasing at which the top of the ladder moving downwards on wall when the foot of the ladder is 5 m away from the wall.

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

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

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m 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. Then the highest point of the ladder when the foot of the ladder is 4.0 m away from the wall , decreases at the rate of

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

A ladder, metres long standing on a floor leans against a vertical wall . If the top of the ladder slides downwards at the rate of 10 cm/sec , then the rate at which the angel between the floor and the ladder is decreasing when the lower end of the ladder is 2 metres away from the wall is

A ladder 13 m long rests against a vertical wall. If the foot of the ladder is 5 m from the foot of the wall, find the distance of the other end of the ladder from the ground.

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions
  1. A man 160 cm tall, walks away from a source of light situated at the t...

    Text Solution

    |

  2. A man 180 cm tall walks at a rate of 2m/sec. away, from a source of...

    Text Solution

    |

  3. A ladder 13m long leans against a wall. The foot of the ladder is p...

    Text Solution

    |

  4. A particle moves along the curve y=x^2+2xdot At what point(s) on the c...

    Text Solution

    |

  5. If y=7x-x^3 and x increases at the rate of 4 units per second, how fas...

    Text Solution

    |

  6. A particle moves along the curve y=x^3 . Find the points on the curve...

    Text Solution

    |

  7. Find an angle theta ,  which increases twice as fast as its cosine.

    Text Solution

    |

  8. Find an angle theta,  whose rate of increase is twice as the r...

    Text Solution

    |

  9. The top of a ladder 6 metres long is resting against a vertical wal...

    Text Solution

    |

  10. find f ' (2) If f(x) = 3x +7

    Text Solution

    |

  11. Water is running into an inverted cone at the rate of pi cubic metr...

    Text Solution

    |

  12. A man 2 metres high walks at a uniform speed of 5 km/hr away from a ...

    Text Solution

    |

  13. The surface area of a spherical bubble is increasing at the rate of...

    Text Solution

    |

  14. The radius of a cylinder is increasing at the rate 2cm/sec. and its...

    Text Solution

    |

  15. The volume of metal in a hollow sphere is constant. If the inner ra...

    Text Solution

    |

  16. Sand is being poured onto a conical pile at the constant rate of 50 ...

    Text Solution

    |

  17. A kite is 120m high and 130 m of string is out. If the kite is movin...

    Text Solution

    |

  18. A particle moves along the curve y= (2/3)x^3+1 . Find the points on t...

    Text Solution

    |

  19. Find the point on the curve y^2= 8xdot for which the abscissa and ordi...

    Text Solution

    |

  20. The volume of a cube is increasing at the rate of 9 cm^3/sec. How fa...

    Text Solution

    |