Point-of-Care Ultrasound can help to identify signs of thoracic aortic dissection.
One view to help in your assessment is the Parasternal Long Axis View.
To correctly measure the aortic root:
Here is an example of an aortic root aneurysm:

Kennedy Hall M, Coffey EC, Herbst M, Liu R, Pare JR, Andrew Taylor R, Thomas S, Moore CL. The "5Es" of emergency physician-performed focused cardiac ultrasound: a protocol for rapid identification of effusion, ejection, equality, exit, and entrance. Acad Emerg Med. 2015 May;22(5):583-93. doi: 10.1111/acem.12652.