Answer:
So, the answers are:
- Distance to first base: 104.3 ft
- Distance to second base: 87 ft
- Distance to third base:104.3 ft
Step-by-step explanation:
The distance from the pitcher's position to first base is the hypotenuse of a right triangle with legs of length 60.5 ft and 87 ft. Using the Pythagorean theorem:
\[ \sqrt{60.5^2 + 87^2} \approx 104.3 \ \text{ft} \ (rounded to the nearest tenth) \]
The distance from the pitcher's position to second base is the same as the distance from first base to home plate, which is simply the side length of the square, or 87 ft.
The distance from the pitcher's position to third base can be found using the Pythagorean theorem again, with legs of length 60.5 ft and 87 ft:
\[ \sqrt{60.5^2 + 87^2} \approx 104.3 \ \text{ft} \ (rounded to the nearest tenth) \]
So, the answers are:
- Distance to first base: 104.3 ft
- Distance to second base: 87 ft
- Distance to third base:104.3 ft
