the height of a tree is 10m it is bent by the wind in such a way that is top touches the ground and make an angle of 60° with ground at what height from the bottom did the tree get bent
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the height of a tree is 10m it is bent by the wind in such a way that is top touches the ground and make an angle of 60° with ground at what height from the bottom did the tree get bent
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Answer:
The tree is broken at 4.64 m above the ground.
Step-by-step explanation:
Given height of the tree before it was bent = 10 m.
Let the height of the tree where it bents due to wind = AB = h
Hence, AC = 10-h m
In rt. triangle ABC,
sin 60 = AB / AC
√3 / 2 = h / 10-h
10√3 - √3 h= 2h
10√3 = √3h +2h
10√3 = (√3 + 2)h
h = 10√3 / √3 + 2
DO RATIONALIZATION.....
h=4.64 m.
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