A triangular field has sides 218.5 and 213.3 and the angle between them measures 58.96°. Find the area of the field.

Answer:The area of the field = 19966.21 units²Step-by-step explanation:* Lets explain how to find area of a triangle by trigonometry rule- In any triangle if you have the lengths of two sides and the measure  of the including angle between these two sides, then the area of the  triangle is A = [tex]\frac{1}{2}s_{1}s_{2}sin\alpha[/tex] , wher α is the  including angle between them* Lets solve the problem∵ The field is shaped triangle∵ The lengths of two sides of the field are 218.5 and 213.3∴ s1 = 218.5∴ s2 = 213.3∵ The measure of the angle between the two sides is 58.96°∴ α = 58.96°- Lets find the area using the rule of trigonometry∴ [tex]A=\frac{1}{2}(218.5)(213.3)sin(58.96)=19966.21[/tex]∴ The area of the field = 19966.21 units²