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A vertically straight tree, 12m high is broken by the wind in such a way that its top touches the ground and make an angle of 60° with the ground. at what height from the ground the tree is broken by the wind |
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Answer» Let the HEIGHT from the bottom where the TREE is BROKEN be ‘H’ m Hence AC = (12 – h) m In right triangle ABC sin 60° = (AB)/(AC) (√3/2 )= h/(12 – h) 12√3 – √3h = 2h √3h + 2h = 12√3 h(√3 + 2) = 12√3 Therefore, h = 12√3/ (√3 + 2) m |
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