Answer:
[tex]24[/tex]
Step-by-step explanation:
The area of a triangle can be given as [tex]\frac{1}{2}ab\sin C[/tex], where [tex]a[/tex] and [tex]b[/tex] are two sides of a triangle and [tex]C[/tex] is the angle between them.
Substituting [tex]a=6[/tex], [tex]b=5[/tex], and [tex]\sin C=4/5[/tex]:
[tex]A=5\cdot 6\cdot \frac{4}{5}=30\cdot \frac{4}{5}=\boxed{24}[/tex]
