In the middle of town, State and Elm streets meet at an angle of 40º. A triangular pocket park between the streets stretches 100 yards along State Street and 53.2 yards along Elm Street. Find the area of the pocket park using the given dimensions

Given the lengths of the sides of the triangle and the angle in between them, we determine the area of the triangle by the equation,

A = 0.5ab (cos C)

Substituting,

A = 0.5 (100 yd) (53.2 yd) (cos 40°)

A = 2037.68 yd²

Thus, the area of the pocket park with the given dimensions is approximately 2037.68 yd².