The height of the support x is 8m
Using similar triangles theorem, which states the ratio of corresponding angles are equal.
In the diagram there are two similar triangles. The triangles are similar by AAA postulate.
To find x;
x/12 = 30/45
45x = 12 × 30
45x = 360
divide both sides by 45
x = 360/45
x = 8m
Therefore the height of the support x for the conveyor is 8m