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16 February, 10:22

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

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  1. 16 February, 12:19
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    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.
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