Home
Class 12
MATHS
A ladder 20 ft long leans against a vert...

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 end moves on a horizontal floor when it is 12 ft from the wall is

A

`(8)/(3)`

B

`(6)/(5)`

C

`(3)/(2)`

D

`(17)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

A ladder 20 ft long leans against a vertical wall. If the top end slides downward at the rate of 2 ft/s, find the rate at which the lower end moves on a horizontal floor when it is 12 ft from the wll. Find also the rate at which the slope of the ladder changes.

A ladder 26 ft long leans against a vertical wall. If the top slides downwards at the rate of 10 in/s. find the rate at which the lower end moves on a horizontal floor when it is 10 ft from the wall. Find also the rate at which the slope of the ladder changes.

A light is placed on the groung at a distance of 30 ft from a house. A man 6 ft tall walks from the light towards the house at the rate of 5 ft/s find the rate at which his shadow on the wall is shortening when he is 15 ft from the wall.

A 5 ft long man walks away from the foot of a 12 1/2 ft high lamp post at the rate of 3 mile/h. Find the rate at which his shadow is increasing.

A ladder 5 cm 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 cm away from the wall ?

A ladder 16 cm 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/sec. How fast is its height on the wall decreasing when the foot of the ladder is 4 cm away from the wall?

A ballong leaves the ground 50 ft from an observer. If it rises vertically at the rate of 6 ft/s how fast is it reducing form the point of observation when it is 120 ft above the ground?

A 5 ft long walks away from the foot of a 12(1)/(2)ft high lamp-post at the rate of 3 mi/h. find the rate at which his shadow is increasing.

A balloon leaves the ground 50 ft from an obsever, If it rises vertically at the rate of 6 ft/s, how fast it receding from the point of obsevation when it is 120 ft above the ground?

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. A student appears for tests, I,II and III. The student is successful i...

    Text Solution

    |

  2. If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(...

    Text Solution

    |

  3. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  4. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

    Text Solution

    |

  5. The foot of the perpendicular drawn from the point (1,8,4) on the line...

    Text Solution

    |

  6. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  7. For 0leple1 and for any positive a,b let I(p)=(a+b)^p,J(p)=a^p+b^p: th...

    Text Solution

    |

  8. Let vecalpha=hati+hatj+hatk,vecbeta=hati-hatj-hatk" and "vecgamma=-hat...

    Text Solution

    |

  9. Let vecalpha,vecbeta,vecgamma be three unit vectors such that vecalpha...

    Text Solution

    |

  10. The least positive integer n such that ({:(cos""((pi)/(4)),sin""((pi)/...

    Text Solution

    |

  11. Let p be a relation on N, the set of natural numbers, as p={(x,y)neN x...

    Text Solution

    |

  12. If the polynomial f(x)=|{:((1+x)^a,(2+x)^b,1),(1,(1+x)^a,(2+x)^b),((2+...

    Text Solution

    |

  13. Let f(x)={{:(-2sinx" if "xle-(pi)/(2)),(Asinx+B" if "-(pi)/2ltxlt(pi)/...

    Text Solution

    |

  14. The normals to the curve y=x^2+1, drawn at the points with the absciss...

    Text Solution

    |

  15. The equation xlogx=3-x

    Text Solution

    |

  16. Let I=int0^1(x^3cos3x)/(2+x^2)dx. Then

    Text Solution

    |

  17. A particle is in motion along a curve 12y=x^3. The rate of change of i...

    Text Solution

    |

  18. The area of the region lying above x-axis, and included between the ci...

    Text Solution

    |

  19. In a third order matrix A, a(ij) denotes the element in the i-th row a...

    Text Solution

    |

  20. Let f(x)=cos((pi)/(x)),xne0 then assuming k as an integer,

    Text Solution

    |