Hello, gobbajeezalus!

In , use the Law of Cosines:In major league baseball, the four bases form a square with 90-foot sides.

The pitcher's mound is 60.5 feet from home plate.

. . Assume the pitcher's mound is apoint.Draw line segmentCode:C * * * * * 90 * * 90 * * * * D * P * B * * * * | * 90 * 60.5| * 90 * |45°* * | * * A

a) Find the distance from the pitcher's mound to first base.

Therefore: . feet.

b) Find the distance from the pitcher's mound to second base.

In isosceles right triangle

Then: . feet.

In , use the Law of Cosines . . .c) Find the angle created by home plate, the pitcher's mound, and first base.

Hence: .

d) Find the angle formed by the pitcher's mound, first base, and home plate.