5. A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
As we can see the tree makes a right angle with
Perpendicular = 5 m
Base = 12 m
As we know,
In a Right-angled Triangle: By Pythagoras Theorem,
Here, The Hypotenuse of the triangle was also a part of the tree originally, So
The Original height of the tree = height + hypotenuse
= 5 m + 13 m
= 18 m.
Hence the original height of the tree was 18 m.