How to determine 1 2 or no triangles using the height

The video tutorial explains how to construct a triangle, emphasizing flexibility in positioning points. It discusses the ambiguous case of angle-side-side and how to determine if one, two, or no triangles exist by calculating the height using the law of sines. The tutorial concludes by confirming the existence of a right triangle based on the calculated height.

What is the calculated height of the triangle when using the sine of 30 degrees?

Discuss the implications of having one triangle versus no triangles in this scenario.