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Answer:
[tex]Area = 56892in^2[/tex]
Step-by-step explanation:
Given
[tex]\triangle TUV[/tex]
[tex]t = 320in[/tex]
[tex]u = 360in[/tex]
[tex]\angle V = 81^\circ[/tex]
Required
Calculate the area
Given two sides and a middle angle, the area of a triangle is:
[tex]Area = \frac{1}{2}ab*sinC[/tex]
In this case, it is:
[tex]Area = \frac{1}{2}tu*sinV[/tex]
[tex]Area = \frac{1}{2}*320*360*sin(81)[/tex]
[tex]Area = \frac{1}{2}*320*360*0.9877[/tex]
[tex]Area = 56891.52[/tex]
[tex]Area = 56892in^2[/tex] --- approximated