A tree broke at a height of 8 m from its foot and the broken upper part touches the ground at a point of 6 m from its foot. Find the height of the tree.

Correct option is C

Given:

Break point from the base = 8 m

Distance from foot to where the top touches ground = 6 m

Concept Used: 

The broken upper part forms the hypotenuse of a right-angled triangle, with:

vertical part = 8 m

horizontal distance = 6 m

Formula Used:

Pythagoras theorem:

​$$\text{Hypotenuse}^2 = \text{Base}^2 + \text{Height}^2$$​​

Solution:

Broken part length(Hypotenuse) = $$\sqrt{6^2 + 8^2}$$​​

​$$= \sqrt{36 + 64}$$​​

​$$= \sqrt{100}$$​​

= 10 m

Total height of tree = 8 + 10 = 18 m