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a tree due to the storm and the broken part bends so that the tree top touches the ground making an angle 30 with it.the distance between the foot of the tree to the point where the top touches the ground is 8m. find the height of the tree from where it is broken

Posted by Palika Chandra Swaroop 4 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Anu Sharma 4 years, 10 months ago

Answer :- 8√3m

2Thank You

Gaurav Seth 4 years, 10 months ago

Let BD be the tree broken at point C such that the broken part CD takes the position CA and strikes the ground at A. It is given that AB = 8 m and ∠BAC = 30°.
Let BC = x metres and CD = CA = y metres
In right triangle ABC, we have

Now, height of the tree

Hence, the height of the tree

1Thank You

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CBSE > Class 10 > Mathematics