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