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`
...
Doubtnut Promotions Banner Mobile Dark
|

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.

Knowledge Check

  • The upper part of a tree, broken by the wind makes an angle of 60° with the ground and the distance from the roots to the point where the top of the tree meets the ground is 20 m. The length of the broken part of the tree is

    A
    20 m
    B
    40 m
    C
    `20sqrt(3)` m
    D
    `40sqrt(3)` m

  • 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
    `20sqrt(3)` metre
    B
    `10sqrt(3)` metre
    C
    `10(2+sqrt(3))` metre
    D
    `10(2-sqrt(3))` metre

  • 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 ?

    A
    `10sqrt(3)` metre
    B
    `(10sqrt(3))/(3)` metre
    C
    `10(sqrt(3)+1)` metre
    D
    `10(sqrt(3)-1)` metre

    • Similar Questions

    Explore conceptually related problems

    The upper part of a tree broken by the wind makes an angle of 60^(@) with the ground and the distance from the foot to the point where the top of the tree meets the ground is 20m. What was the height of the tree?

    The upper part of a tree broken over by the wind makes an angle of 30^(@) with the ground and the distance of the root from the point where the top touches the ground is 25 m. What was the total height of the tree?

    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 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 )

    Home
    Profile