Home
Class 11
MATHS
The upper part of a tree broken over by ...

The upper part of a tree broken over by the wind makes an angle of `30^0` with the ground and the distance from the root to the point where the top of the tree touches the ground is 15m. Using sine rule, fine the height of the tree.

Text Solution

Verified by Experts

Height if the trees is = x
`tantheta=P/B`
`tan30^@=x/15`
`:.x=15xx1/sqrt3`
...
Promotional Banner

Topper's Solved these Questions

  • SETS

    RD SHARMA|Exercise Solved Examples And Exercises|218 Videos

  • SOME SPECIAL SERIES

    RD SHARMA|Exercise Solved Examples And Exercises|69 Videos

Similar Questions

Explore conceptually related problems

The upper part of a tree broken over by the wind makes an angle of 30^(@) with the ground and the distance from the root to the point where the top of the tree touches the ground is 15m. Using sine rule,find the height of the tree.

The upper part of a tree broken over by the wind makes an angle of 60^(@) with the ground and the horizontal distance from the foot of the tree to the point where the top of the tree meets the ground is 10 metres. Find the height of the tree before broken.

The upper part of a tree broken over by the wind make an angle of 60^@ with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree? एक वृक्ष का ऊपरी भाग आँधी के कारण टूटकर भूमि की सतह से 60^@ का कोण बनाता है। जड़ और जिस बिन्दु पर वृक्ष का शीर्ष भूमि को छूता है के मध्य की दूरी 25 मीटर है। वृक्ष की ऊँचाई (मीटर में) क्या थी?

The upper part of a tree broken at a certain height makes an angle of 60^(@) with the ground at a distance of 10 metre from its foot The original height of the tree was

A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30^(@) with the ground .The distance from the foot of the tree to the point , where the top touches the ground is 10 m . Find the total height of the tree ?

The upper part of a tree broken over by wind, makes an angle of 30^(@) with the ground. If the length of the upper part is 8sqrt3 metresthen what was the height of the tree before broken ?

A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60^(@) with the ground . The distance from the foot of the tree to the point where the top touches the ground is 5 metres . Find the height of the tree. ( sqrt(3) = 1.73 )

RD SHARMA-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-Solved Examples And Exercises
  1. In any triangle A B C , prove that following: \ a\ (cosB cos C+cos A)=...

    Text Solution

    |

  2. In a Delta A B C ,\ ifsin^2A+sin^2B=sin^2C , show that the triangle i...

    Text Solution

    |

  3. The upper part of a tree broken over by the wind makes an angle of 30^...

    Text Solution

    |

  4. If the sides of a DeltaA B C\ are a=4,\ b=6\ a n d\ c=8, show that 4...

    Text Solution

    |

  5. In any Delta A B C , prove that: a(b\ cos C-c cosB)=b^2-c^2

    Text Solution

    |

  6. In any Delta A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b...

    Text Solution

    |

  7. In any Delta A B C , prove that: 2(bc cosA+cacosB+a bcosC)=a^2+b^2+c^...

    Text Solution

    |

  8. In a Delta A B C , prove that: (b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)...

    Text Solution

    |

  9. In a Delta A B C , prove that: ((b^2-c^2)/(a^2))sin2A+((c^2-a^2)/(b^2)...

    Text Solution

    |

  10. In any DeltaA B C prove that acosA+bcosB+c cosC=(8Delta^2)/(a b c)dot

    Text Solution

    |

  11. Two ships leave port at the same time. One goes 24 km per hour in the ...

    Text Solution

    |

  12. A lamp post is situated at the middle point M of the side AC of a t...

    Text Solution

    |

  13. Two trees, A and B are on the same side of a river. From a point C in ...

    Text Solution

    |

  14. In a A B C , prove the following : In a DeltaA B C ,\ if\ a=5, m\ b=...

    Text Solution

    |

  15. In a DeltaA B C , prove the following :\ If\ a=sqrt(2),\ b=sqrt(3)\ a...

    Text Solution

    |

  16. In a DeltaA B C , prove the following : The sides of a triangle area ...

    Text Solution

    |

  17. In a Delta A B C , prove the following :If a=18 ,\ b=24 ,\ c=30 , fin...

    Text Solution

    |

  18. In a DeltaA B C , prove the following : c\ (acosB-bcosA)=a^2-b^2dot

    Text Solution

    |

  19. In a DeltaA B C , prove the following : (c^2+b^2-a^2)tanA=(a^2+c^2-b^...

    Text Solution

    |

  20. In a Delta A B C , prove the following : (c-b\ cos A)/(b-c\ cos A)=(c...

    Text Solution

    |