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.

Answers (1)
P Pankaj Sanodiya

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.