Hard to tell from the photo how you have your DMM set up. However if you are seeing 60 volts you may be set to DC volts instead of AC volts. Because the signal is oscillating you will only see about half of the amplitude of an AC signal on a DC meter setting. Also check that the probes are in the correct holes on the DMM. There is usually 3 ... one common but the two other ones are for different functions. Both the switch and the leads need to be correctly set up for AC.
Also "feel" for the ribbing in the edges of wires. One outside edge should feel smooth and round, and the other outside edge will have a fine rib along it. I think they designed if for blind electricians