Answer
$15.04$ square units
Work Step by Step
The area $A$ of the triangle can be computed using the formula
$A=\dfrac{ab\cdot \sin(C)}{2}.$ where $a$ and $b$ are sides of the triangle and angle $C$ is the included angle.
Hence, the area of the triangle is:
$A=\frac{8\cdot4\cdot \sin(70^\circ)}{2}\approx15.04$
