...Hold your hand out at arm's length in the direction you are viewing and close one eye. At this distance, your index finger is about 1 degree across, twice the diameter of a full Moon. (Most folks think of the Moon as larger and are surprised to find their finger can cover it.) A fist is about 10 degrees across, and a wide open handspan from thumb tip to little finger tip about 20 degrees.
This method works for adults and children, regardless of hand size. People with larger hands generally have longer arms, making their hand appear about the same size as one belonging to a person with a smaller hand and shorter arm.
Try it out. The bowl of the Big Dipper is about 10o wide -- about one fist-width. The Little Dipper is about 20 degrees in length -- about one hand-span. Measure Polaris' distance above your northern horizon. Its altitude in degrees will equal the latitude from which you are viewing. For example, in central Texas, near latitude 30 degrees N, Polaris is about 30 degrees, or 3 fists, above the horizon.