Final answer:
To find the distance someone ran diagonally from one corner of a soccer field to the other, we can use the Pythagorean theorem. Using the given dimensions of the field, we can calculate the distance to be approximately 134.16 yards.
Step-by-step explanation:
To find the distance someone ran diagonally from one corner of a soccer field to the other, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the length of one side is 120 yards and the length of the other side is 60 yards.
So, using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Where c is the hypotenuse and a and b are the other two sides.
Substituting the values, we have:
c^2 = 120^2 + 60^2
c^2 = 14400 + 3600
c^2 = 18000
Taking the square root of both sides, we get:
c ≈ 134.16
So, the distance someone ran diagonally from one corner of a soccer field to the other is approximately 134.16 yards.