Take the height of a Glengarry at the high point of curve 4", take the height of A&SH badge 3.25".
Take the height of Glengarry at the badge site 3.75" assuming all black badge patches are the same position which they generally are, No other badge will fill that space, looking at the Glengarry badge from the front of the soldier is not going to give the same image as a side on view of the badge.
James