Classic/Antique Car Repair: 89 Vette heater is not working., fierwall, heater core

Question
I have an '89 Corvette.  The blower works.  The A/C works.  The
coolant is flowing as it should.  But the hot air isn't getting to the
cockpit.

Answer
HEA STEVE;
        FIRST DID YOU CHECK THE TWO HOSES THAT GO INTO THE HEATER ON THE LEFT SIDE OF THE FIERWALL UNDER THE HOOD
THE TWO HOSES THAT GO INTO THE HEATER CORE,IF THEY ARE BOTH HOT TO THE TOUCH THAN THE HEATER CORE IS GETTING HOT AND THERE MUST BE A VENT OR A STUCK HEATER SWITCH / VALVE AND IF THERE IS ONE IN LINE -THAN   THAT COULD BE BAD. SO FIRST SEE IF THE BOTH HOSES ARE HOT WHEN THE ENGINE IS WARM TO NORMAL OP. TEMP LIKE 180 OR SO. THAN YOU CAN CHECK THE REST AFTER YOU FIND IF THAY ARE BOTH HOT.AGAIN IF BOTH ARE HOT THAN IT IS A HEATER BYPASS VALVE IF YOU HAVE ONE ON IT OR SOMETHING IS STUCK UNDER THE DASH.  GET BACK TO ME AFTER YOU FIND OUT IF BOTH HOSES ARE HOT OR NOT OK.