The Archie Altimeter.
I wouldn't put too much faith in using weather radar as an altimeter.
First, assuming that everything is perfect, you know *exactly* what the terrain elevation is 25 miles in front of you, the radar is tilted *exactly* 4 degrees below the horizon, the radar scale reads true distance *exactly* .... even if all of those measurements have zero error, the rule of thumb is going to put you off by about 600 feet if it's nautical miles, if it's calibrated in statute miles, it's going to be about 800 feet off in the opposite direction.
As far as the terrain height, even assuming that you have a sectional with you and you're pretty handy with it, your altitude estimate is only going to be a good as the height of the hills above the surrounding terrain, not a very comfortable thought.
Do you really think that you can read 25 miles off that tiny little screen with any precision? Even if you *think* you can, how accurate do you think that reading will be? I think that it would be optimistic to believe that you could determine the distance of a return to better than +/- 3-4 miles in 25, which is fine for it's intended use. You see a big ugly red blob at the 25 mile line, do you really care if it's 22 miles or 28? That's close enough to avoid flying through it. However, the difference between 22 miles and 28 miles is the difference between estimating your altitude at 9700 feet and 11,800 feet, assuming everything else is perfect.
Finally, the tilt angle. If you turn the tilt knob to about where you think 4 degrees would be, what actually is the tilt of the beam? How accurately do you think that the radar antenna has been installed and calibrated for tilt? To within a degree? Probably not. Even so, what about aircraft attitude, that's going to change with airspeed, gross weight, altitude, probably more than a few degrees. Ok, let's give Archie the benefit of the doubt and say that when you dial in 4 degrees tilt, it's +/- 1 degree (that's being extordinarily generous), that one degree of tilt is the difference between estimating your altitude at 7900 feet and 13,200 feet.
Ok, let's recap, the errors in the Archie Altimeter are +/- 1100 feet due to range error, +/- 2500 feet due to tilt error, +/- the height of the hills in front of you, oh yes and the 600 foot error inherent in the rule of thumb.
Certainly, you could use the weather radar as a means to warn you if you were flying toward terrain which was close to your altitude, somewhere ahead of you, but determining your altitude to within a few hundred feet is a bit unrealistic.