Question

A tree broke at a point and its top touched the ground 5m away from its base. if point of breakage is at height of 12 m from ground what was tree's total height

Answer 1

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Answer 2

Answer:

25 m

Step-by-step explanation:

Refer the attached figure

A tree broke at a point and its top touched the ground 5m away from its base. i.e. BC = 5m

Point of breakage is at height of 12 m from ground i.e. AB = 12 m

Now we are supposed to find  tree's total height i.e. AB +AC

Now in ΔABC

$Hypotenuse^2=Perpendicular^2+Base^2$

$Hypotenuse^2=12^2+5^2$

$Hypotenuse^2=144+25$

$Hypotenuse^2=169$

$Hypotenuse=\sqrt{169}$

$Hypotenuse=13$

So, AC = 13 m

Tree's total height =AB +AC = 12+13=25 m

Hence tree's total height was 25 m.