What would ATC expect the pilot to do if, at the position marked below by the red X, the aircraft lost radio communication and was on a radar vector heading 250 degrees at/assigned 3000 msl and the pilot was told to expect the ILS approach to Runway 7 Right? Assume the IFR aircraft did not have DME, RNAV or GPS equipment and the weather was IMC.
First, squawk 7600 to let ATC know you have lost two way radio communications and to clear traffic out of your way.
Then, from the AIM, Section 4. Two-way Radio Communication Failure
Section 6-4-1.c. includes:
1. General. Unless otherwise authorized by ATC, each pilot who has two-way radio communications failure when operating under IFR must comply with the rules of this section.
2. VFR conditions. If the failure occurs in VFR conditions, or if VFR conditions are encountered after the failure, each pilot must continue the flight under VFR and land as soon as practicable.
This is the preferable solution, but the question said to assume the conditions are IFR. Which leads to (displaying only applicable sections):
3. IFR conditions. If the failure occurs in IFR conditions, or if subparagraph 2 above cannot be complied with, each pilot must continue the flight according to the following:
(2) If being radar vectored, by the direct route from the point of radio failure to the fix, route, or airway specified in the vector clearance;
(c) Leave clearance limit.
(1) When the clearance limit is a fix from which an approach begins, commence descent or descent and approach as close as possible to the expect further clearance time if one has been received, or if one has not been received, as close as possible to the Estimated Time of Arrival (ETA) as calculated from the filed or amended (with ATC) Estimated Time En Route (ETE).
So the expectation of ATC would be that the crew would fly outbound, make a right turn and intercept the localizer and fly the approach.
It would be a challenge to fly it without DME, but not impossible from the starting point. Radar or DME (or GPS) is needed to get to the IAF. If the pilot had a good estimate of his location when comm was lost, it would be to fly outbound for about 1 minute and then a right 180 deg turn to intercept the localizer. Once the glideslope is intercepted, being on GS plus altitude allows to to estimate passage of TIMSE and FUMBL. The rest of the approach can be timed.
I'm not sure you could / would want to land here if you were in IMC. The MSA is 4200 ft and you are at 3000 ft. If you don't have any VFR charts on board, you don't know where those obstacles are. I would climb to 4200 so you are not going to hit anything and find somewhere else to land that's VMC.