Question

1. baseball the foul lines of a baseball field intersect at home plate to form a right angle. you hit a baseball whose path forms an angle of 64° with the third base foul line (see figure at right). what is the angle between the first base foul line and the path of the baseball?

Explanation:

Step1: Identify the total angle

The foul lines form a right angle, so the total angle is \( 90^\circ \).

Step2: Subtract the given angle

We know one angle with the third base foul line is \( 64^\circ \). To find the angle with the first base foul line, we subtract: \( 90^\circ - 64^\circ = 26^\circ \).

Answer:

The angle between the first base foul line and the path of the baseball is \( 26^\circ \).