# Can you help me to interpret technical drawings?

I'm trying to find out the angle/ length of the oblique line, or the solid angle of the conic part.

This is what I've tried so far: According to the pythagorus theorem the length of the line is equal to: $$\sqrt{(50-22)^2+14^2}$$ but obviously this method gives a contradictory results, because as you can read, the line makes a 45° angle with the vertical axis, so its length should be equal to: $$\sqrt{14^2+14^2}$$

I make somewhere a mistake which I obviously don't see it.

The next question is about the dimension 15 ( marked in red ). I spend an awful amount of time to figure it out, but still cannot say anything.

At the end I want to know if this is something I'll confront a lot in real life mechanical engineering ? I mean a really confusing old drawings of parts sometimes with wrong/incomplete dimensions ? • "I want to know if this is something I'll confront a lot in real life mechanical engineering?" Yes, if you ever work on something old. As an example no drawings for the Boeing 747 aircraft were done using CAD, because at the time CAD wasn't quick and powerful enough to handle that size of project. And there are plenty of B747s still flying! – alephzero Mar 7 at 17:18
• Even if its not a old drawing, you have also quickly done sketches, drawings from junior engineers, all in all the example is pretty good considering. – joojaa Mar 7 at 21:36

50 and 22 refer to diameters of the conical bit. Usually in axisymmetric objects you denote diameters. It is the same as the 36 and 45 diameters (which are more easily understood).

So it is:

$$\sqrt{\left(\frac{50-22}{2}\right)^2 +14^2}$$ $$\sqrt{\left(14\right)^2 +14^2}$$ 