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

Given: Height of broken tree = 5m

Base distance of tree touch the ground = 12cm

Formula Used/Theory:-

Pythagoras theorem:-

Base² + Height² = Hypotenuse²

Length of broken tree is :-

Base² + Height² = Hypotenuse²

12² + 5² = Hypotenuse²

144 + 25 = Hypotenuse²

169 = Hypotenuse²

Height of broken tree = √ 169 = 13m

Height of tree = length of broken tree + 5m

= 13m + 5m = 18m