A tree breaks due to storm and the broken part bends so that the top of the tree 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 8 m. Find the height of the tree. -Maths 9th

1 Answer

Answer :

The broken part bends so that the top of the tree touches the ground making an angle 30 °. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Original height of tree that is A`BC Let we consider that the tree bend by strom from the point B and angle formed by the top of the tree is 30°. According to the diagram Height of tree(A`BC) = AB + BC Imagine A`BC = AC A` is a top of tree which will be on the land form an angle but after bending height of tree remain same. Rationalising the denominator and numerator So, Now in same ∆ ABC After rationalising Now we have , A`BC = AB + BC Take LCM So , original height of tree is

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