Question

A tree 9 m tall is broken at a height of 4 m from the ground and its top touches the ground. Find the distance between the point where the top touches the ground from the base at the tree.​

Answer 1

Answer:

Therefore, the distance between the point where the fallen trunk touches the ground and the base of the tree is 3 m.

Step-by-step explanation:

The tree was of 9 m and is broken at a height of 4 m from the ground means the height of the fallen trunk is (9-4) m = 5 m

Here it forms a right angled triangle where

The remaining trunk of 4 m is the height, the fallen trunk of 5 m is the hypotenuse and the distance between the base of the remaining trunk and the point where the fallen trunk touches the ground is the base.

Let the base be x then

x^2= 5^2-4^2

or, x^2=25-16

or, x^2=9

or, x=√9

or, x=3

Therefore, the distance between the point where the fallen trunk touches the ground and the base of the tree is 3 m.