(1 point)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A shortstop is standing in the base path between second and third base when she fields the ball. She is 30 feet from second base and needs to make the throw to first base. Assuming the field is square, she needs to throw the ball approximately Response area ft.

Answer 1

To find the approximate distance the shortstop needs to throw the ball to first base, we can use the Pythagorean theorem.

1. The shortstop is standing 30 feet away from second base.
2. The distance from second base to first base is 90 feet (as a standard baseball diamond's bases are 90 feet apart).

We can visualize this as a right triangle where:

• One leg is the distance from the shortstop to second base (30 feet),
• The other leg is the distance from second base to first base (90 feet), and
• The hypotenuse is the distance the shortstop needs to throw the ball to first base.

Using the Pythagorean theorem:

\[ d^2 = a^2 + b^2 \] \[ d^2 = 30^2 + 90^2 \] \[ d^2 = 900 + 8100 \] \[ d^2 = 9000 \] \[ d = \sqrt{9000} \approx 94.87 \text{ feet} \]

Therefore, the shortstop needs to throw the ball approximately 95 feet (rounding to the nearest whole number).

So the response to insert in the response area is:

95