Home
Class 14
MATHS
A kite is flying in the sky. The length ...

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is `30^@`. Assuming that there is no slack in the string, then what'is the height (in metres) of the kite?
एक पतंग आकाश में उड़ रही हैं मैदान पर एक बिन्दु से पतंग तक धागे की लम्बाई 420 मी. हैं मैदान से धागे का उन्यन कोण `30^@` हैं मान लीजिए की धागे में कोई ढीलापन नहीं है, तो पतंग की ऊँचाई (मीटर में) कया हे?

A

210

B

`140sqrt(3)`

C

`210sqrt(3)`

D

150

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -V|45 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE - II|420 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

The length of a string between kite and a point on the ground is 90 m. If the string makes an angle with the level ground and sin alpha=(3)/(5) . Find the height of the kite. There is no slack in the string.

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.

A kite is flying at the height of 75m from the ground. The string makes an angle theta (where cot theta = 8/15 ) with the level ground. Assuming that there is no slack in the string the new length of the string is equal to :

A kite is flying at the height of 75 m from the ground .The string makes an angle theta (where cottheta=(8)/(15)) with the level ground .As - summing that there is no slack in the string the length of the string is equal to :

A kite is flying, attached to a thread which is 165m long. The thread makes an angle of 30^(@) with the ground. Find the height of the kite from the ground , assuming that there is no slack in the thread.

A kite is flying at a height 80 m above the ground . The string of the kite which is temporarily attached to the ground makes an angle 45^(@) with the ground. If there is no slack in the string, then the length of the string is

A kite is flying at a height of 60m above the ground.The string attached to the kite is temporarily tied to a point on the ground.The inclination of the string with the ground is 60^(@). Find the length of the string,assuming that there is no slack in the string.

A kite is flying at a height of 30m from the ground.The length of string from the kite to the ground is 60m.Assuming that three is no slack in the string,the angle of elevation of the kite at the ground is: 45^(0) (b) 30^(0) (c) 60^(0) (d) 90^(0)

KIRAN PUBLICATION-TRIGONOMETRY -TYPE -III
  1. A tower is broken at a point P above the ground .The top of the tower ...

    Text Solution

    |

  2. The angle of elevation of an aeroplane from a point on the ground is 6...

    Text Solution

    |

  3. A kite is flying in the sky. The length of string between a point on t...

    Text Solution

    |

  4. A balloon leaves from a point P rises at a uniform speed. After 6 minu...

    Text Solution

    |

  5. Two points P and Q are at the distance of x and y (where ygtx) respect...

    Text Solution

    |

  6. A Navy captain going away a lighthouse at the speed of 4[(sqrt3) - 1] ...

    Text Solution

    |

  7. The angles of elevation of the top of a building from the top and bot ...

    Text Solution

    |

  8. The distance between the tops of two building of 38 metres and 58 metr...

    Text Solution

    |

  9. The angles of elevation of the top of a tree 220 meters high from two ...

    Text Solution

    |

  10. The angles of elevation of the top of a tower 72 metre high from the t...

    Text Solution

    |

  11. What is the value of ((1)/(3)-cosec30^(@)) ?

    Text Solution

    |

  12. What is the value of (cosec30^(@)-(1)/(sqrt(3))) ?

    Text Solution

    |

  13. What is the value of (2(1-sin^2 theta) cosec^2 theta)/(cot^2 theta(1+t...

    Text Solution

    |

  14. What is the value of (cos2A+2cos^(2)A-2cos2AcosA)/(sin2A-2sin^(2)Asin2...

    Text Solution

    |

  15. What is the value of cos15^(@)-cos165^(@) ?

    Text Solution

    |

  16. What is the value of [1-tan(90^(@)-theta)]^(2)*[cos^(2)(90^(@)-theta) ...

    Text Solution

    |

  17. A pole is standing on the top of a house. Height of house is 25 metres...

    Text Solution

    |

  18. A ladder is placed against a wall such that it just reaches the top of...

    Text Solution

    |

  19. An aeroplane is flying horizontally at a height of 1.8km above the gro...

    Text Solution

    |

  20. A ladder leaning against a wall makes an angle alpha with the horizont...

    Text Solution

    |