Math, asked by gaurav96226, 1 year ago

a tree broken at a point but not separated its top touches the ground at a distance of 50cm from ground base find the height of rest part of tree I'd brokn part is 100cm​

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Answered by tr467
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Let A’CB be the tree before it broken at the point C and let the top A’ touches the ground at A after it broke. Then ΔABC is a right angled triangle, at B.

AB = 12 m and BC = 5 m



Using Pythagoras theorem,
In ΔABC

(AC)²=(AB)²+(BC)²


(AC)²=(12)²+(5)²

(AC)²=144+25

(AC)²=169

AC = √169

AC= 13 m

Hence, the total height of the tree(A’B) = A’C + CB = 13 + 5 = 18 m.

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