Kari and Samantha have determined that their water.balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees.Which equation can be used to determine the minimum and maximum optimal angles of launch,and what is the minimum angle that is still optimal? vert x-3vert =45 minimum angle: 42 degrees vert x-3vert =45 minimum angle: 45 degrees vert x-45vert =3 minimum angle: 42 degrees vert x-45vert =3 minimum angle: 45 degrees

## Step 1The problem involves determining the optimal angles for launching a water balloon. The optimal angle is defined as the angle that is within 3 degrees of 45 degrees. This means that the angle can be either 3 degrees less than 45 degrees or 3 degrees more than 45 degrees.## Step 2The absolute value equation is used to represent this situation. The absolute value of a number is its distance from zero on the number line, regardless of direction. In this case, the absolute value of is 3, which means that is either 3 or -3.## Step 3Solving the equation gives , which is the maximum optimal angle.## Step 4Solving the equation gives , which is the minimum optimal angle.