Answer:
Approximate answer: [tex]66.36 \ cm^2[/tex]
Step-by-step explanation:
[tex]DM = 5.66\cdot \cot(65^\circ)[/tex]
Denote the projection of point [tex]B[/tex] onto side [tex]DC[/tex] as [tex]M'[/tex].
[tex]M'C = 5.66\cot(62^\circ)[/tex]
[tex]MM' = AB = 8.9[/tex]
[tex]DC = DM + MM' + M'C[/tex].
Next we should put everything together in area formula for trapizium:
[tex]S = AM\cdot\frac{AB + DC}{2}[/tex]
