6. Blue Birds' star player Bud is edging away from first base, trying to steal second....

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6. Blue Birds' star player Bud is edging away from first base, trying to steal second. Peter, the pitcher for the Red Shooz, knows that if Bud is more than 12 ft from first base, he can throw the ball to first in time to get Bud out. Second Base 10 P Third Base First Base Home Plate 90 ft Glancing over his shoulder, Peter observes Bud at an angle of 10 away from first base. The baseball diamond is square, with each side length equal to 90 ft. Peter is equidistant from all bases, including home plate. a) Determine the distance between Peter and first base. b) Can Peter pick Bud off at first? Justify your answer. 6. Blue Birds' star player Bud is edging away from first base, trying to steal second. Peter, the pitcher for the Red Shooz, knows that if Bud is more than 12 ft from first base, he can throw the ball to first in time to get Bud out. Second Base 10 P Third Base First Base Home Plate 90 ft Glancing over his shoulder, Peter observes Bud at an angle of 10 away from first base. The baseball diamond is square, with each side length equal to 90 ft. Peter is equidistant from all bases, including home plate. a) Determine the distance between Peter and first base. b) Can Peter pick Bud off at first? Justify your answer.