Home
Class 12
MATHS
A kit is 120m high and 130 m of string i...

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

Text Solution

Verified by Experts

With the given details, we can draw a triangle.
Please refer to video to see the traingle.
Here, `AB` is the vertical height at which kite is flying and `AK` is the string. `AB = 120m and AK = 130m`. `K` is the point where kite is at present.
Traingle `APK` is aright angle triangle,
`:. BK = sqrt (130^2-120^2) = 50m`.
Now, we can create an equation using pythagoras theorem.
...
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|567 Videos
  • DETERMINANTS

    RD SHARMA|Exercise Solved Examples And Exercises|403 Videos

Similar Questions

Explore conceptually related problems

A kite at a height of 80m with 100m of cord starts moving away horizontally at the rate of 4km/hr. How fast is the cord payed out?

A kite is 300m high and there are 500m of cord out.If the wind moves the kite horizontally at the rate of5(km)/(hr) directly away from the person who is flying it,find the rate at which the cord is being paid?

A kite is flying at a height of 40 meters .The boy who is flying it is carrying it at the rate of 3m//sec . Height of the kite remains the same and the string is staight (taut).The rate at which the string is being paid out , when itys length is 50 meters , is

A kite is flying at a height of 16 meters. A boy who is flying it, is carrying it horizontally at the rate of 1.2 meter/sec. If the height of the kite remains same, the string is straight and the length of string released is 20 meters, then rate at which the string being pair out, is

A ladder 13 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 4 m/sec. Find the rate of decreasing at which the top of the ladder moving downwards on wall when the foot of the ladder is 5 m away from the wall.

The block of mass m is at rest. Find the tension in the string A .

Flying a kite . A girl flies a kite at a height of 3000 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec. How fast must she let out the string when the kite is 500 ft away from her ?

RD SHARMA-DERIVATIVES AS A RATE MEASURER -Solved Examples And Exercises
  1. An edge of a variable cube is increasing at the rate of 3cm per second...

    Text Solution

    |

  2. The side of a square sheet is increasing at the rate of 4cm per minute...

    Text Solution

    |

  3. A kit is 120m high and 130 m of string is out. If the kite is movin...

    Text Solution

    |

  4. Find the point on the curve y^2dot 8xdot for which the abscissa and or...

    Text Solution

    |

  5. A particle moves along the curve y=(2/3)x^3+1. Find the points on ...

    Text Solution

    |

  6. The surface area of a spherical bubble is increasing at the rate of...

    Text Solution

    |

  7. The volume of metal in a hollow sphere is constant. If the inner ra...

    Text Solution

    |

  8. The radius of a cylinder is increasing at the rate 2cm/sec. and its...

    Text Solution

    |

  9. The volume of a cube is increasing at the rate of 9cm3/sec. How fas...

    Text Solution

    |

  10. For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, t...

    Text Solution

    |

  11. A man is walking at the rate of 6.5 km/hr towards the foot of a tower ...

    Text Solution

    |

  12. A man 2m tall, walks at the rate of 1 2/3m//s e c towards a street lig...

    Text Solution

    |

  13. An airforce plane is ascending vertically at the rate of 100 km/h. ...

    Text Solution

    |

  14. Find an angle theta, 0 lt theta lt pi/2, which increases twice as fast...

    Text Solution

    |

  15. The volume of a cube is increasing at a rate of 7c m^3//s ec How fast ...

    Text Solution

    |

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

    Text Solution

    |

  17. Two men Pa n dQ start with velocity u at the same time from the juncti...

    Text Solution

    |

  18. Water is dripping out from a conical funnel of semi-vertical angle pi/...

    Text Solution

    |

  19. An inverted cone has a depth of 10cm and a base of radius 5cm. Water i...

    Text Solution

    |

  20. A kite is moving horizontally at the height of 151.5 meters. If the ...

    Text Solution

    |