Respuesta :
This sounds like Pythagorean theorem! 6 is the long side, so it's the hypotenuse. [tex] A^{2} + b^{2} = c^{2} [/tex] 6^2= 4^2 + b^2. 36-16= 20. Now you have b^2. If you take the square rt. of 20 to get b by itself, you get approx. 4.4 which would be answer C.
The distance from the bottom of the tree is the rope attached to the ground will be 4.4 feet, Which is round off to the 4 inches.
What is Pythagoras theorem?
Pythagoras theorem gives the relation between the length, breadth, and hypotenuse. It is only applicable to the right-angled triangle.
If ABC is a triangle, with AC as the hypotenuse and B as the 90-degree angle, we get:
[tex]\rm h^2 = p^2+b^2[/tex]
The given data in the problem is;
h(hypotenous)=6 feet
p(perpendicular)=4 feet
b(base)=?
The distance from the bottom of the tree is the rope attached to the ground is found as;
[tex]\rm h^2 =p^2+b^2 \\\\ 6^2=4^2+b^2 \\\\ b^2=36-16 \\\\ b=\sqrt{20} \\\\ b=4.4 \ feet[/tex]
The distance from the bottom of the tree is the rope attached to the ground will be 4.4 feet, Which is round off to the 4 inches.
Hence option C is correct.
To learn more about the Pythagoras theorem refer to the link;
https://brainly.com/question/343682
#SPJ2
