1. 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?





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  • By: anil on 05 May 2019 01.50 am
    (AB+BC) = $$h$$ is the whole height of the tree, the tree breaks down from point A, BC = 10 m In $$ riangle$$ ABC, => $$tan(30^circ)=frac{AB}{BC}$$ => $$frac{1}{sqrt{3}}=frac{AB}{10}$$ => $$AB=frac{10}{sqrt{3}}$$ m ---------(i) Again, in $$ riangle$$ ABC, => $$cos(30^circ)=frac{BC}{AC}$$ => $$frac{sqrt{3}}{2}=frac{10}{AC}$$ => $$AC=frac{20}{sqrt{3}}$$ m ----------(ii) Adding equations (i) and (ii), => $$AB+AC=frac{10}{sqrt{3}}+frac{20}{sqrt{3}}$$ => $$h=frac{30}{sqrt{3}}=10sqrt{3}$$ m => Ans - (A)
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