Answer:
Distance traveled by the ball will be 87.1 feet.
Step-by-step explanation:
Length of a segment between extreme ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of batter and shortstop are (9, 9) and (45, 90) (in feet) respectively.
Batter hits the ball and the ball moves in a straight line.
Therefore, distance between batter and the shortstop will be,
d = [tex]\sqrt{(9-45)^2+(9-90)^2}[/tex]
= [tex]\sqrt{(-36)^2+(-81)^2}[/tex]
= [tex]\sqrt{1296+6561}[/tex]
= [tex]\sqrt{7587}[/tex]
= 87.10
≈ 87.1 feet
Therefore, distance traveled by the ball will be 87.1 feet.
