Question

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

Answer 1

Answer is 3m.

Step-by-step explanation:

After breaking a right angled triangle is formed whose hypotenuse is 5m and perpendicular is 4m.

So the base is

$\sqrt{5 {}^{2} + 4 { }^{2} } = 3$

Answer 2

By Pythagoras theorem,

(AB)^2+(BC)^2=(AC)^2.

(4)^2+(BC)^2=(5)^2.

(BC)^2=25-16.

BC=√9=3m.

Thus the answer is 3m.