Best way to design a circuit for the following AND logic

Question

I would like to implement the following logic:

Whilst the switch S1 is pressed AND there is a voltage on VOLT (this would range from 40-60V) then the output switch would be closed and output would be at 12V. Otherwise the output is pulled to ground. I have drawn the AND gate purely to explain the logic. S1 is floating as it could be tied to ground or anything else that may be more suitable.

What would be a good way of implementing this? I considered using a pnp bjt but the variation on Volt would have made it fairly tricky to implement.

The output signal for a logic high must be between 11-13V. Does not have to be 12V. It just so happens that i have access to a 12V line.

Would something like the following work (Apologies but VBAT here is VOLT(40-60V)?:

Answer 1

Just a couple of BJTs and a zener plus some resistors are needed to be reasonably accurate: -

Answer 2

You could do something like this with a push-pull rail-to-rail comparator. You could add in debounce for the switch and/or move it to the low-voltage output of the resistor divider if it can't handle 60V. This assumes that your 40-60V won't go much above 60V, that you can handle some threshold drift with temperature, that your 40-60V input can be referenced to the comparator, etc.

^{simulate this circuit – Schematic created using CircuitLab}

Answer 3

Do you really need the precision of a opamp/comparator?
How about this instead?

^{simulate this circuit – Schematic created using CircuitLab}

The "sawtooth" V1 is just for simulation so you can see it switching on at 40V and off below that.
D1 is a 39V zener, so the output will probably turn on at about 39.6V - if that's a problem then add a schottky diode in series (forward-biased ofc).