A baseball field is like a diamond,with a base plate at each corner.To score a home run,a batter must run from the home plate past each of the other bases and back to the home plate.If the bases are 28m apart,how far will a batter run if he scored a home run?
d = 4*28 =
28 m apart
Diamond has 4 equal side
D=28÷4
=7
so its 7 m
answer
To calculate the distance a batter will run to score a home run, we need to consider the distance between bases and the path the batter will cover.
In a baseball field, the bases are placed 28 meters apart, forming a square shape. To score a home run, the batter needs to run from the home plate to first base, then second base, followed by third base, and finally back to the home plate.
The path the batter will run forms a right-angled triangle with two equal sides, which represent the distances between the home plate and first base (28 meters) and between the first, second, and third bases (also 28 meters). The hypotenuse of this triangle represents the total distance the batter will run for a home run.
To calculate the hypotenuse of a right-angled triangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse squared (d^2) will be equal to (28^2) + (28^2).
Let's calculate this:
d^2 = (28^2) + (28^2)
d^2 = 784 + 784
d^2 = 1568
d = √1568
d ≈ 39.6 meters
Therefore, a batter will run approximately 39.6 meters if they score a home run on a baseball field with bases placed 28 meters apart.