Home
Class 12
MATHS
A man of height 180 cm is moving away fr...

A man of height 180 cm is moving away from a lamp post at the rate of 1.2 meters per second. If the height of the lamp post is 4.5 meters, find the rate at which the tip of the shadow is moving

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos
  • APPLICATION OF DEFINITE INTEGRATION

    CHETANA PUBLICATION|Exercise EXERCISE|80 Videos
  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

A man of height 180 cm is moving away from a lamp post, at the rate of 1.2m/sec. If the height of the lamp post is 4.5 m., find the rate of which the tip of his shadow is moving.

A man of height 180 cm is moving away from a lamp post, at the rate of 1.2m/sec. If the height of the lamp post is 4.5 m., find the rates of which his shadow is lengthening

A man of height 1.5 meters walks toward a lamp post of height 4.5 meters, at the rate of (3/4) meter/sec. Find the rate at which the tip of the shadow is moving.

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

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 second, find how fast the top of the ladder is sliding down the wall when the bottom is 6 meters away from the wall.

A man of height 1.5 meters walks toward a lamp post of height 4.5 meters, at the rate of (3/4) meter/sec. Find the rate at which his shadow is shortening.

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. The volume of the spherical ball is increasing at the rate of 4pi cc/s...

    Text Solution

    |

  2. Water is being poured at the rate of the 36 m^3/sec into a cylindrical...

    Text Solution

    |

  3. A man of height 180 cm is moving away from a lamp post at the rate of ...

    Text Solution

    |

  4. A man of height 180 cm is moving away from a lamp post at the rate of ...

    Text Solution

    |

  5. A car is moving in such a way that the distance it covers, is given by...

    Text Solution

    |

  6. The displacement of a particle at time t is given by s= 2t^3 - 5t^2 + ...

    Text Solution

    |

  7. Find the approximate value of sqrt 64.1

    Text Solution

    |

  8. Find the approximate value of 3.98^3

    Text Solution

    |

  9. Find the approximate value of sin(30^o 30'). Given that 1^o = 0.0175^c...

    Text Solution

    |

  10. Find the approximate value of tan^(-1) (0.99), Given that pi = 3.1416

    Text Solution

    |

  11. Find the approximate value of e^(1.005), Given that e = 2.7183

    Text Solution

    |

  12. Find the approximate value of log(10)(998), Given that log(10)(e) = 0....

    Text Solution

    |

  13. Find the approximate value of f(x)= x^3 + 5x^2 -2x +3 at x=1.98

    Text Solution

    |

  14. Check whether conditions of Rolle's theorem are satisfied by the follo...

    Text Solution

    |

  15. Check whether conditions of Rolle's theorem are satisfied by the follo...

    Text Solution

    |

  16. Verify Rolle's theorem for the function: f(x) = x^2 -4x +10 on (0,4)

    Text Solution

    |

  17. Given an interval (a, b) that satisfies hypothesis of Rolle's theorem ...

    Text Solution

    |

  18. Verify Lagrange's mean value theorem for the following functions: f(x)...

    Text Solution

    |

  19. Verify Lagrange's mean value theorem for the following functions: f(x)...

    Text Solution

    |

  20. Show that the function f(x) = x^3 +10 x +7 for all x in R is strictly ...

    Text Solution

    |