Final answer:
The distance from home plate to second base on a little league baseball diamond is approximately 84.9 feet.
Step-by-step explanation:
In a little league baseball diamond, the distance from home plate to second base can be found using the Pythagorean theorem. Since the bases form a right angle, we can consider this as a right triangle. The bases are 60 feet apart, which makes the adjacent and opposite sides of the triangle each measure 60 feet. To find the distance from home plate to second base (the hypotenuse), we use the formula a^2 + b^2 = c^2, where a and b are the lengths of the two sides and c is the length of the hypotenuse. Solving for c, we have 60^2 + 60^2 = c^2. Simplifying, we get 7200 = c^2. Taking the square root of both sides, we find c ≈ 84.9 feet. Therefore, it is approximately 84.9 feet from home plate to second base.
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