HELP ASAP!!!!!!!PLEASE SHOW WORK!!!!!! !!!!!
1 answer:
Answer:
Area = 12.82 miles²
Step-by-step explanation:
Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,
Area = ![\frac{1}{2}ab[\text{sin(C)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dab%5B%5Ctext%7Bsin%28C%29%7D%5D)
By substituting the values of sides a, b and the angle C,
Area = ![\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%285.7%5Ctimes%209.3%29%5B%5Ctext%7Bsin%7D%2814%5E%7B%5Ccirc%7D%29%5D)
= 12.82 square miles
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