KC10:
It's all a part of the 60:1 stuff they tried to teach me 25 years ago, but I didn't learn to apply it until a few years later.
The formula is
(Change in Altitude) / (Change in Miles) x 10 = Degrees required.
So, if the IAF is FL240, and you have a hard crossing altitude of 3000 ft 35 miles later,
21 / 35 = 3/5, which is .6. Multiply by 10, and : 6 degrees.
(The hard part is figuring the miles when it is part radial, part arc, which still requires 60:1 rule stuff of 1 degree= 1 mile at 60 miles, and fractions thereof). So, I make the kids do all this math
during the brief, and I have them write the gradients on the plate...makes it a lot easier to fly than doing math-in-public at 400TAS.
This used to be easy to teach, but I have found in the last 4 years, none of the kids are any good at multiplication tables. Apparently, in order to pass standardized elementary school testing, all children are issued a cell-phone to use as a calculator.
As to performance: in the F-4 and T-38, we had specific pitch and power settings that gave commonly used descent angles. Later, I figured out those angles in the Lear 35. In the T-38:
Idle 300 kts Clean 7 degrees
80% 300 Clean 5
80% 300 Boards 10
Idle 300 Boards 13
The kids are taught these in academics.
300 kts = zero pitch on the ADI, so angle=what you see on the ADI. However, the jet now has a Flight Path Marker, and you can use that to fine-tune actual descents, if doing speeds other than 300 kts.
Finally, since the only speed restriction above 10,000 is usually to stay subsonic, if a student discovers he is very high because he started down very late, he can just dump the nose 20, 30, even 40 degrees, idle and/or boards, and let it do 400-500 kts.
They never think of that, though...that suggestion usually comes from the other cockpit.