We first need to find the side opposite 30 degrees.
sin(30°) = h/8
sin(30°)•8 = h
4 = h, where h is the height of the triangle.
To find x, we continue to use trigonometry.
sin(45°) = 4/x
x = 4/sin(45°)
x = 5.6568542495
We could round this decimal number to two decimal places. When doing so, the value of x becomes 5.66 units.