Respuesta :
Answer:
The player ran approximately 119119119 meters
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of the diagonal line.
The equation for the Pythagorean Theorem is
a^2 + b^2 = c^2a
2
+b
2
=c
2
a, squared, plus, b, squared, equals, c, squared
where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.
In this case a=64,b=100,a=64,b=100,a, equals, 64, comma, b, equals, 100, comma and c=xc=xc, equals, x.
Hint #33 / 4
\begin{aligned} 64^2+100^2 & =x^2\\ 4096+10000 & = x^2\\ 14096 & = x^2\\ \sqrt{14096} & = x\\ 118.726 & \approx x \end{aligned}
64
2
+100
2
4096+10000
14096
14096
118.726
=x
2
=x
2
=x
2
=x
≈x
The player ran approximately 119119119 meters.
The player runs 118.726 meters and this can be determined by using the Pythagorean theorem.
Given :
- A rectangular football field is 64 meters wide and 100 meters long.
- A player runs from one corner of the firmed in a diagonal line to the opposite corner.
The Pythagorean theorem can be used in order to determine the length of the diagonal. According to the Pythagorean theorem:
[tex]\rm H^2 = B^2 + P^2[/tex]
where H is the hypotenuse, B is the base, and P is the perpendicular.
Now, substitute the value of B and P in the above formula.
[tex]\rm H^2 = 100^2+64^2[/tex]
Simplify the above expression in order to determine the value of H.
[tex]\rm H = \sqrt{100^2+64^2}[/tex]
H = 118.726 m
So, the player runs 118.726 meters.
For more information, refer to the link given below:
https://brainly.com/question/16426393
