Question

the image shows a baseball field, where the distance from home plate to first base is 90 ft. what is the distance from home plate to second base to the nearest foot?(1 point)○ 180 feet○ 127 feet○ 156 feet○ 64 feet

Explanation:

Step1: Identify right triangle sides

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

Step2: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2}$$
Substitute $a=90$, $b=90$:
$$c = \sqrt{90^2 + 90^2} = \sqrt{8100 + 8100} = \sqrt{16200}$$

Step3: Calculate and round

$$\sqrt{16200} \approx 127.279$$
Round to the nearest foot: $127$

Answer:

127 feet