As a general rule, the length of the antenna determines its operating frequency; the lower the frequency, the longer the radiating element. A VHF navigation antenna, which has a frequency range, or bandwidth, of 108 to 118 MHz, has a radiating element that is about 22 inches long.
Voice communications radios cover a slightly higher VHF spectrum - from 118 to 136 MHz. At about 20 inches long, a com antenna is slightly shorter than a nav antenna.
The radiating element on a nav or com antenna may be a stainless steel bent whip rod or 20 to 22 inches of copper wire coiled inside a 12-inch-long blade antenna. Most modern nav and com antennas intended for use on light general aviation airplanes today are straight fiberglass-coated rods that extend at a slight angle from the base back toward the tail of the aircraft.
The rear antenna in the photo appears to be slightly longer, so it's probably a VHF nav antenna. The other likely is a VHF com antenna.