A baseball diamond is a square 90 feet on a side. Find, correct to the nearest foot, the distance from third base to first base?
a.180 feet
b.135 ft
c.127 ft
d.none of the above
90 feet * √2
To find the distance from third base to first base on a baseball diamond, we can use the Pythagorean theorem. Since the baseball diamond is a square 90 feet on each side, we can consider the diagonal of the square as the distance from third base to first base.
By applying the Pythagorean theorem, we have:
Distance^2 = (Side length)^2 + (Side length)^2
Distance^2 = 90^2 + 90^2
Distance^2 = 8100 + 8100
Distance^2 = 16200
Now, to find the value of distance, we take the square root of both sides:
Distance = √16200
Distance ≈ 127.28
Rounding to the nearest foot, the distance from third base to first base is approximately 127 feet.
Therefore, the correct answer is c. 127 ft.