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, how far does she need to throw the ball? Round your answer to the nearest tenth.
The Great Pyramid of Giza in Egypt has a square base with edge length of 230.5 m and a slant height of 180.2 m. Find the height of the pyramid. Round the answer to the nearest tenth.(1 point)
what does that have to do with a pyramid
To find the distance she needs to throw the ball, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance she needs to throw the ball is the hypotenuse of a right triangle with a leg of 30 feet (the distance from second base) and a leg of 30 feet (the distance from third base).
Using the Pythagorean theorem, we can find the distance she needs to throw the ball:
Distance^2 = 30^2 + 30^2
Distance^2 = 900 + 900
Distance^2 = 1800
Taking the square root of both sides, we find:
Distance ≈ √1800
Distance ≈ 42.4 feet
Therefore, she needs to throw the ball approximately 42.4 feet. Answer: \boxed{42.4}.