In a parallelogram, the side is 8 and the acute angle at the base is 30 degrees.

When we omit the corresponding height, then it forms a right-angled triangle, where the desired projection will be the leg.

As we know from the school curriculum in geometry, the cosine of an angle can be calculated through the ratio of the leg, which belongs to this angle, to the hypotenuse.

Let us find out what the desired projection will be equal to if from the condition of the task we know that the angle to the torus is 30 °, and the lateral side (hypotenuse) is 8:

8 * √3 / 2 = 4√3.

Answer: The projection is 4√3.