Home
Class 12
MATHS
A man of 2 metres height walks at a unif...

A man of 2 metres height walks at a uniform speed of 6 km/hr away from a lamp post of 6 metres high. Find the rate at which the length of his shadow increases.

Text Solution

Verified by Experts

The correct Answer is:
3 km/h
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 6 MARK QUESTIONS|13 Videos
  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 2 MARK QUESTIONS|20 Videos
  • APPLICATIONS OF INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR/SIX MARK QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

A man 2 metres high walks at a uniform speed of 5km/hr away from a lamp-post 6 metres high.Find the rate at which the length of his shadow increases.

A man 2 metres high, walks at a uniform speed of 5 km per hour away from a lamp post, 6 metres high. The rate at which the length of his shadow increases is

A man 2 metre high walks at a uniform speed 5 metre/hour away from a lamp post 6 metre high. The rate at which the length of his shadow increases is

A man of 2m height walks at a uniform speed of 6kmh^(-1) away from a lamp post of 6m height. The rate at which the length of his shadow increase in

A man of height 1.7 m walks at a uniform speed of 6.6 m/min from a lamp post which is 5m high.Find the rate at which the length of his shadow increases.

A man of height 160 cm walks at a rate of 1.1 m/sec from a lamp post which 6m high. Find the rate at which the length of his shadow increases when he is 1m away from the lamp post.

A man 2 metres tall walks away from a lamp post 5 metres height at the rate of 4.8 km/hr. The rate of increase of the length of his shadow, is

A man of height 2m walks directly away from a lamp of height 5 m on a level road at 3m//s . The rate at which the length of his shadow is increasing is

A man 160cm tall,walks away from a source of light situated at the top of a pole 6m high at the rate of 1.1m/sec. How fast is the length of his shadow increasing when he is 1metre away from the pole.

CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-4 MARK QUESTIONS
  1. A kite is moving horizontally at a height of 151.5 m. If the speed of ...

    Text Solution

    |

  2. A swimming pool is to be drained by cleaning. If L represents the n...

    Text Solution

    |

  3. A man of 2 metres height walks at a uniform speed of 6 km/hr away from...

    Text Solution

    |

  4. A water tank has the shape of an inverted right circular cone with ...

    Text Solution

    |

  5. A spherical ball of salt is dissolving in water in such a manner that ...

    Text Solution

    |

  6. A conical vessel whose height is 10 meters and the radius of whose bas...

    Text Solution

    |

  7. xa n dy are the sides of two squares such that y=x-x^2 . Find the rate...

    Text Solution

    |

  8. The length of a rectangle is increasing at the rate 3.5 cm/sec. and it...

    Text Solution

    |

  9. If the area of circle increases at a uniform rate, then prove that the...

    Text Solution

    |

  10. Show that f(x)=x^(3)-6x^(2)+18x+5 is an increasing function for all x ...

    Text Solution

    |

  11. Determine whether the following function is increasing or decreasing i...

    Text Solution

    |

  12. Determine for which values of x, the function y=x^(4)-(4x^(3))/(3) is ...

    Text Solution

    |

  13. Find the interval of increasing and decreasing of the function f(x) =(...

    Text Solution

    |

  14. Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi...

    Text Solution

    |

  15. Show that f(x)=x^(2)e^(-x), 0 le x le 2 is increasing in the indicated...

    Text Solution

    |

  16. Prove that y=(4sintheta)/((2+costheta)-theta is an increasing function...

    Text Solution

    |

  17. Find the intevals in which the following functionis decreasing. f(x) =...

    Text Solution

    |

  18. Find the interval in which the function f(x)=5x^((3)/(2))-3x^((5)/(2))...

    Text Solution

    |

  19. Show that f(x)=tan^(-1)(sinx+cosx) is an increasing function on the ...

    Text Solution

    |

  20. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

    Text Solution

    |