Question

in baseball, the length of the path between each pair of consecutive bases is 90 feet. the paths form right angles. how far does the ball need to travel if it is thrown from home plate directly to second base? a 90 feet b 127.3 feet c 135.7 feet d 180 feet please select the best answer from the choices provided a b c d

Explanation:

Step1: Identify right triangle sides

The path from home to first base ($a=90$ ft) and first to second base ($b=90$ ft) form the legs of a right triangle. The direct path to second base is the hypotenuse $c$.

Step2: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2}$$

Step3: Substitute values and calculate

$$c = \sqrt{90^2 + 90^2} = \sqrt{8100 + 8100} = \sqrt{16200} \approx 127.3$$

Answer:

B. 127.3 feet