Home
Class 12
MATHS
A ladder, 5 meter long, standing on a ho...

A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of 10cm/sec then the rate at which the angle between the floor and the ladder is decreasing when lower end of the ladder is 2 meters from the wall is

A

1/10 radian/sec

B

1/20 radian/sec

C

20 radian/sec

D

10 radian/sec

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

A ladder 5cm 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/sec. How fast is its height on the wall decreasing when the foot of the ladder is 4m 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 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 24 ft long leans against a vertical wall. The lower end is moving away at rate of 3 ft/sec find the rate at which the top of the ladder is moving downwards. If its foot is 8ft from the wall.

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

A ladder leaning against a wall makes an angle of 60^(@) with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder

A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, find the distance by which the top of the ladder would slide upwards on the wall.

A ladder resting against a vertical wall has its foot on the ground at the distance of 6 cm from wall. A man climbs two third of the ladder. What will be his distance from the wall now ?

A ladder of length 6 m makes an angle of 45^(@) with the floor while leaning against one wall of a room. If the foot of the ladder is kept fixed on the floor and it is made to lean against the opposite wall of the room, it makes an angle 60^(@) with the floor. Find the distance between these two walls of the room.

A ladder of length 2.6m is leaned against a wall. When it is at distance of 2.4 m from the foot of the wall, the top of the ladder touches the bottom edge of the window in the wall. It the foot of the ladder is moved 1.4 m towards the wall, it touches the top edge of the window. Find the height of the window.

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The point on the curve y^(2)=x, where the tangent makes an angle of (p...

    Text Solution

    |

  2. The sides of an equilateral triangle are increasing at the rate of 2 c...

    Text Solution

    |

  3. A ladder, 5 meter long, standing on a horizontal floor, leans against ...

    Text Solution

    |

  4. The curve y=x^(1//5) has at (0, 0) :

    Text Solution

    |

  5. The equation of the normal to the curve 3x^(2)-y^(2) =8 which is paral...

    Text Solution

    |

  6. If the curve ay + x^(2) =7 and x^(3) = y, cut orthogonally at (1,1), t...

    Text Solution

    |

  7. The equation of the tangent to the curve y(1+x^(2)) = 2-x, where it cr...

    Text Solution

    |

  8. Find points at which the tangent to the curve y = x^(3) - 3x^(2) - 9x ...

    Text Solution

    |

  9. The tangent to the curve y = e^(2x) at the point (0,1) meets x-axis at

    Text Solution

    |

  10. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |

  11. A cylindrical tank of radius 10m is being filled with wheat at the rat...

    Text Solution

    |

  12. The radius of a circular plate is increasing at the rate of 0.01cm/sec...

    Text Solution

    |

  13. The approximate value of root (3) (63) correct to four decimal places ...

    Text Solution

    |

  14. Approximate value of f(x) = 2x^(3)+7x+1 at x = 2.001 is

    Text Solution

    |

  15. The approximate value of tan (45^(o), 30^(')) given 1^(o) = 0.0175 rad...

    Text Solution

    |

  16. Find the value of cos60^(@) cos 30^(@)-sin 60^(@) sin 30^(@)

    Text Solution

    |

  17. If the radius of a sphere is measured as 7 m with an error of 0.02m, t...

    Text Solution

    |

  18. Each edge of a cube is increased by 50%. Find the percentage increase ...

    Text Solution

    |

  19. The length of the subnormal at any point(x,y) on the curve y^(2) = 4ax...

    Text Solution

    |

  20. The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...

    Text Solution

    |