Non-Precision approach

[MikeD]

That is pretty much what happened to American Airlines Flight 1572. From Wiki (and accurate) "The NTSB investigation cited several causes for this accident. It faulted the FAA for designing the approach to runway 15 without taking the ridgeline into consideration. The new approach, which factors in the terrain, has increased the MDA to 1,320 ft (400 m)." I seem to recall that the NTSB missed the issue of venturi effect on altimeters due to the ridgeline, though.

The other aspect was that the approach had a published VDP prior to the accident, but, also prior to the accident, FAA removed it as they realized that the ridge line impeded on the 3 degree glideslope. Rather than fix that, they just quietly revised the approach with no published VDP and left it as a straight in.

Of course these things could happen, as there's no guarantee to anything. That's why anything you compute, you have to run through the does-this-make-sense filter, and does it check.

Even published stuff, there can (and has been) errors.