Final answer:
Using the Pythagorean theorem to calculate the diagonal of a square baseball diamond with sides of 90 feet, we find the diagonal's length to be approximately 127.3 feet, making the correct answer A) 127.3 feet.
Step-by-step explanation:
The question asks for the length of a diagonal in a square, specifically from home plate to second base in a baseball diamond where each side is 90 feet long. This can be solved using the Pythagorean theorem, which states that in a right-angled 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. Since the baseball diamond is a square, the diagonal forms a right-angled triangle with two sides of 90 feet.
The formula is c² = a² + b², where 'c' is the hypotenuse and 'a' and 'b' are the other two sides. So in this case, c² = 90² + 90² = 8100 + 8100 = 16200. Taking the square root of 16200 gives us the length of the diagonal, which is approximately 127.3 feet. Therefore, the correct option in the final answer is A) 127.3 feet.