Home
Class 12
MATHS
A ladder 17 metre long is leaning agains...

A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5m/s. When the base of the ladder is 8 metres from the wall.
How fast is the top of the ladder moving down the wall?

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise EXERCISE 7.2|14 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise EXERCISE 7.3|17 Videos
  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS)|5 Videos
  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS )|5 Videos

Similar Questions

Explore conceptually related problems

A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5m/s. When the base of the ladder is 8 metres from the wall. At what rate, the area of the triangle formed by the ladder, wall, and the floor, is changing?

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 2cm/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 makes an angle of 60° with the ground, when placed against a wall. If the foot of the ladder is 2m away from the wall, then the length of the ladder (in metres) is

What length of ladder is needed to reach a height of 7 ft along the wall when the base of the ladder is 4 ft from the wall ?

A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/s, then the rate (in cm/s) at which the bottom of the ladder slides away from the wall on the horizontal ground when the top of the ladder is 1 m above the ground is

A ladder rest against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance x , so that it slides a distance y down the wall making an angle beta with the horizontal. Prove that x=ytan(alpha+beta)/2dot

SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-ADDITIONAL QUESTIONS
  1. A ladder 17 metre long is leaning against the wall. The base of the la...

    Text Solution

    |

  2. If a particle moves is a straight line according to s=t^(3)-6t^(2)-15t...

    Text Solution

    |

  3. The law of linear motion of a particle is given by s=1/3t^(3)-16t, the...

    Text Solution

    |

  4. If the rate of increase of s=x^(3)-5x^(2)+5x+8 is twice the rate of in...

    Text Solution

    |

  5. The point on the curve y=x^(2) is the tangent parallel to X-axis is

    Text Solution

    |

  6. The equation of the tangent to the curve y=x^(2)-4x+2 at (4, 2) is

    Text Solution

    |

  7. Equation of the normal to the curve y=2x^(2)+3sinx at x = 0 is

    Text Solution

    |

  8. The least value of a when f(x)=x^(2)+ax+1 is increasing on (1, 2) is

    Text Solution

    |

  9. The value of lim(xto oo)e^(-x) is

    Text Solution

    |

  10. The critical points of the function f(x)=(x-2)^(2/3)(2x+1) are

    Text Solution

    |

  11. The equation of the tangent to the curve x=tcost,y=tsint at the origin...

    Text Solution

    |

  12. In LMV theorem, we have f'(x(1))=(f(b)-f(a))/(b-a)" then "altx(1)

    Text Solution

    |

  13. If the slope of the curve 2y^(2)=ax^(2)+b at (1, -1) is -1, then the v...

    Text Solution

    |

  14. If the curves y=2e^(x)andy=ae^(-x) intersect orthogonally, then a =

    Text Solution

    |

  15. The function -3x + 12 is function on R.

    Text Solution

    |

  16. The function f(x)=x^(9)+3x^(7)+64 is increasing on

    Text Solution

    |

  17. If x + y = 8, then the maximum value of xy is

    Text Solution

    |

  18. The curve y=e^(x) is

    Text Solution

    |

  19. lim(xto0)x/(tanx) is

    Text Solution

    |

  20. The statement ''If f has a local extremum at c and if f'( c) exists th...

    Text Solution

    |

  21. Identify the incorrect statement.

    Text Solution

    |