0.74 mi. 0.86 mi. 2.21 mi 2.35 mi

To solve this problem, we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles. The Law of Cosines states that for any triangle with sides of lengths a, b, and c, and an angle γ opposite side c, the following equation holds: In this case, we are looking for the distance from the School to the Park, which we will call side c. We know the following:- The distance from School to Joey's House (side a) is 1.2 miles.- The distance from Park to Joey's House (side b) is 1.3 miles.- The angle between School and Joey's House (angle γ) is 40°.We can plug these values into the Law of Cosines to find the length of side c: Now, let's calculate it step by step:1. Calculate and : 2. Calculate \(2ab \cdot \cos(\gamma)\):First, we need to calculate the cosine of 40°. We will use a calculator for this since the cosine of 40° is not a commonly memorized value. 3. Substitute the values into the Law of Cosines equation: 4. Take the square root to find c: The distance from the School to the Park is approximately 0.86 miles.Final Answer: .