Question

possible points: 9.09
a baseball diamond is shown below. it is 90 feet from home plate to first base and 90 feet from first base to second base. joe throws a ball to jerome from home plate to second base. how far did joe throw the ball? round your answer to the nearest tenth.
joe threw the ball approximately ______ feet.

Explanation:

Step1: Identify right triangle sides

The baseball diamond forms a right triangle where the legs (home to first, first to second) are each 90 feet. Let the distance from home to second be $c$, legs $a=90$, $b=90$.

Step2: Apply Pythagorean theorem

Use $c = \sqrt{a^2 + b^2}$
$$c = \sqrt{90^2 + 90^2}$$

Step3: Calculate squared terms

Compute $90^2 = 8100$, so:
$$c = \sqrt{8100 + 8100} = \sqrt{16200}$$

Step4: Simplify and round

Calculate $\sqrt{16200} \approx 127.3$

Answer:

127.3