1.

the top of a broken tree touches the ground at a distance of 12m from its base.if the tree is broken at a height of 5m from the ground then the actual height of the tree is

Answer»

Let ΔABC is a right ANGLED triangle, right angled at B.

AB=12m and BC=5m

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=13m

Hence, the TOTAL HEIGHT of the tree=AC+CB=13+5=18m.

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