Home
Class 12
MATHS
A kite is moving horizontally at a heigh...

A kite is moving horizontally at a height of `151.5 m`. If the speed of the kite is `10 m/s`, how fast is the string being let out, when the kite is 250 m away from the boy who is flying the kite? The height of the boy is 1.5 m. (A) `8` m/s (B) `12 ` m/s (C) `16` m/s (D) `19` m/s

Text Solution

Verified by Experts

The correct Answer is:
8 m/sec.
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 kite is moving horizontally at the height of 151.5 meters.If the speed of kite is 10m/sec , how fast is the string being let out; when the kite is 250m away from the boy who is flying the kiet? The height of the boy is 1.5m.

A kit is 120m high and 130m of string is out. If the kite is moving away horizontally at the rate of 52m/sec ,find the rate at which the string is being paid out.

A kite is flying at an angle of elevation of 60 , the kite is tied with a string of 60 m . Find the height of the kite .

A kite is flying with the string inclined at 75^(@) to the horizon.If the lenth of the string is 25m, the height of the kite is

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is A 90 B. 45 C. 60 D. 30

A kite with 68 metres string is in the sky.The string is making an angle theta with the ground so that tan theta=15/8 Find the height of the kite

CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-4 MARK QUESTIONS
  1. An inverted cone has a depth of 10cm and a base of radius 5cm. Water i...

    Text Solution

    |

  2. The volume of a cube is increasing at a constant rate. Prove that the ...

    Text Solution

    |

  3. A kite is moving horizontally at a height of 151.5 m. If the speed of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |