Home
Class 14
MATHS
A boy is standing on the ground and f...

A boy is standing on the ground and flying a kite with 100m of string at an elevation of `30o` . Another boy is standing on the roof of a 10 m high building and is flying his kite at an elevation of `45o` . Both the boys are on opposite sides of both the kites. Find the length of the string that the second boy must have so that the two kites meet.

Text Solution

Verified by Experts

The correct Answer is:
`40sqrt2` m
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY AND ITS APPLICATIONS

    DISHA PUBLICATION|Exercise Practice Exercise (Foundation Level)|18 Videos
  • TIME, SPEED AND DISTANCE

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

A boy is standing on the ground and flying a kite with 150 m of string at an elevation of 30^(@) . Anotheer boy is tanding on the root of a 25 m high buildig and flying a kite at an elevation of 45^(@) . Find the length of string required by the second boy so that the two kites just meet if both the boys are on opposite sides of the kites.

A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elevation of 30^@. A girl standing on the roof of 20 metre high building, finds the angle of elevation of the same bird to be 45^@. Both the boy and the girl are on opposite sides of the bird. Find the distance of bird from the girl.

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 .

Boy and Girl standing in a queue

A kite is flying at a height of 75 metres from the ground level,attached to a string inclined at 60o to the horizontal.Find the length of the string to the nearest metre.

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

The string of a kite is 100 metres long and it makes an angle of 60o with the horizontal. Find the height of the kite,assuming that there is no slack in the string.

From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30o . A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45o . Find the length of the flagstaff

DISHA PUBLICATION-TRIGONOMETRY AND ITS APPLICATIONS-Practice Exercise (Foundation Level)
  1. A boy is standing on the ground and flying a kite with 100m of stri...

    Text Solution

    |

  2. Evaluate : cos1^(@)cos2^(@)cos3^(@). . . cos179^(@)

    Text Solution

    |

  3. sin^2theta+cosec^2theta is always

    Text Solution

    |

  4. If sintheta+costheta=a and (sintheta+costheta)/(sinthetacostheta)=b, t...

    Text Solution

    |

  5. The value of (sin^2""7""1/2""+cos^2""7""1/2""^@)-(sin^2""30^@+cos^2""3...

    Text Solution

    |

  6. If tan15^@=2-sqrt3, then the value of cot^2""75^@

    Text Solution

    |

  7. If x=psectheta and y=qtantheta then

    Text Solution

    |

  8. If btantheta=a, the value of (asintheta-bcostheta)/(asintheta+bcosthet...

    Text Solution

    |

  9. If tantheta+sintheta=m and tan theta-sin theta=n, then find the value ...

    Text Solution

    |

  10. tan9^@xxtan27^@xxtan63^@xxtan81^@= (a)4 (b)3 (c)2 (d)1

    Text Solution

    |

  11. In the adjoining figure, the length of BC is (a)2sqrt3 cm (b)3sq...

    Text Solution

    |

  12. If the angle of depression of an object from a 75 m high tower is 30^@...

    Text Solution

    |

  13. The angle of elevation of the top of a tower at a point G on the groun...

    Text Solution

    |

  14. The top of a broken tree has its top touching the ground (shown in the...

    Text Solution

    |

  15. An aeroplane flying horiontally 1 km above the ground is observed at a...

    Text Solution

    |

  16. A ladder 25 m long is leaning against a wall which is perpendicular to...

    Text Solution

    |

  17. If the lengthof the shadow of a tower is sqrt(3) times its height of t...

    Text Solution

    |

  18. The angles of elevation of the top of a tower from two points at dista...

    Text Solution

    |

  19. An aeroplane at a height of 600 m passes vertically above another aero...

    Text Solution

    |