Home
Class 12
MATHS
A ladder 5 m long is leaning against a w...

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?

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.1|11 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.2|6 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

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 10cm/s. How fast is the angle between the ladder and the ground decreasing when the foot of the ladder is 2m 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 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 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 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 ?

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 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 10 meter long is leaning against a vertical wall. If the bottom of the ladder is pulled horizontally away from the wall at the rate of 1.2 meters per seconds, find how fast the top of the ladder is sliding down the wall when the bottom is 6 meters away from the wall

A ladder 5 m long leans against a vertical wall. The bottom of the ladder is 3m from the wall. If the bottom of the ladder is pulled 1 m farther from the wall, how much does the top of the ladder slide down the wall

CENGAGE-APPLICATION OF DERIVATIVES-Solved Examples And Exercises
  1. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  2. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

    Text Solution

    |

  3. Find the angle of intersection of y=a^xa n dy=b^x

    Text Solution

    |

  4. If the sub-normal at any point on y=a^(1-n)x^n is of constant length,...

    Text Solution

    |

  5. Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...

    Text Solution

    |

  6. Find the value of a if the curves (x^2)/(a^2)+(y^2)/4=1a n dy^3=16 x c...

    Text Solution

    |

  7. The acute angle between the curves y= |x^2 -1| and y=|x^2- 3| at their...

    Text Solution

    |

  8. In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...

    Text Solution

    |

  9. Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point ...

    Text Solution

    |

  10. For the curve y=a1n(x^2-a^2) , show that the sum of length of tangent ...

    Text Solution

    |

  11. For the curve y=f(x) prove that (lenght n or mal)^2/(lenght or tanght...

    Text Solution

    |

  12. Find the condition if the equation 3x^2+4a x+b=0 has at least one root...

    Text Solution

    |

  13. Find c of Lagranges mean value theorem for the function f(x)=3x^2+5x+7...

    Text Solution

    |

  14. Let 0<a<b<pi/2dotIff(x)=|tanxtanatanbsinxsinasinbcosxcosacosb|,t h e n...

    Text Solution

    |

  15. Let f(x)a n dg(x) be differentiable for 0lt=xlt=2 such that f(0)=2,g(0...

    Text Solution

    |

  16. Prove that if 2a0 2<15 a , all roots of x^5-a0x^4+3a x^3+b x^2+c x+d=0...

    Text Solution

    |

  17. If f(x) is continuous in [a , b] and differentiable in (a,b), then pro...

    Text Solution

    |

  18. Prove that |tan^(-1)x-tan^(-1)y|lt=|x-y|AAx , y in Rdot

    Text Solution

    |

  19. Using Lagranges mean value theorem, prove that (b-a)/bltlog(b/a)lt(b-a...

    Text Solution

    |

  20. If a &gt; b &gt;0, with the aid of Lagranges mean value theorem, prov...

    Text Solution

    |

  21. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |