Whether it is possible to see the Red Sea from Ethiopia depends on
For the last two points we have the website HeyWhatsThat, which uses information on topography to generate “views” from mountains all over the world. Browsing the map close to the Ethiopia-Eritrea border shows at least one area of high altitude in an area that Wikipedia spells Dallol and Google Maps spells Dalol. From at least one peak here one would be able to see the Red Sea if atmospheric conditions were right. Sadly, Google Maps does not have a name for this peak nor any nearby place names.
Screenshot with areas visible from this peak marked in red:
One could play around with the HeyWhatsThat tool to look for other peaks in more accessible parts of Ethiopia with a view of the Red Sea.
Edit: There also appears to be views further south, from where you can also see peaks in Yemen:
Let’s make some assumptions:
Given the assumptions and the data above, one should be able to see the Red Sea from Ethiopia, given an observation point at a height of 2000m placed between the Ethiopia-Eritrea border and 90km from such border. The map below (generated with Free Map Tools) shows four circles with a a radius of 159.7km, placed roughly at the border between Eritrea and the Red Sea. These highlight an area of land in Ethiopia from which the Red Sea should be visible.
Moreover, an observer standing at the summit of the Ethiopian highlands should be able to see the Red Sea, since this is at a distance which is less than the distance of the apparent horizon calculated from that point. The yellow circle in the map below shows an area with a radius of 241km centred on the Ethiopian Highlands. This circle highlights the visible area from this point, a significant part of which encompasses the Red Sea.
Credit:stackoverflow.com‘