As Farmer Rob says, the 20mm length projectile on a 45 degree angle casts a projection of 15mm length (simple HS geometry points toward that figure, actually it would be 20mm/sq root of 2 = ~14.2mm). Calculating a projection doesn't address my question though.
Since we are on the topic of HS geometry let's briefly consider: Assuming a 30 degree elevation slope suggests using a 30-60-90 triangle--height above/below the shooter is the short leg, the second leg is sq root of 3 x first in length, the hypotenuse (actual sight line) is 2 x the first leg. Therefore, the doping adjustment for a 400 yd sightline can be calculated as 200 x 1.73 = 346 yd. Gee!! Ain't that whut the TBR sed?
Obviously, the TBR uses HS trigonometry and geometry for its doping suggestions. Now that I've layed out my background thinking we'll get back to my respctful question: When the incorrect method (as employed inside the TBR) puts bullets 6" too high why then would anyone use a "correct" method of doping that puts bullets even higher above target?
Some dogs learn that chasing its tail is fruitless, others do it for fun occassionally, others do because they don't know better. Which kind of shooter do you want to be?
I would like to participate in this conversation. Unfortunately, I don't know how to insert an Excel spreadsheet I created called " Shooting Angle Matrix ".
I have always thought, a direct range to the target multiplied by an angle multiplier, base on the degree of angle. This would give you the Gravity Range, reflecting the difference.
I,E,. A direct range of 400 yards at a 40 degree angle would compute to 308 yards and your scope could be adjusted accordingly. ( the Multiplier for a 40 degree angle is .77 400 X .77 = 308 yards.
If this is not correct, I guess I need to rework my Matrix. Currently, I print it at 60% laminate it and carry it in my pocket for ranges to 500 yards with up to 60 degress angle calculations with each cell in the matrix calculating gravity ranges. So, could someone direct me to directions on " How To"
I've been asked to resign or been fired from four jobs because I call it the way I see it. Same situation here, anecdotal stuff is good to hear, fun to read and can guide another's practice in LR application of their weapon(s).
Again, my question, not yet answered, why would any one advocate for a method of doping which creates an even greater error in shot placement in the same direction as the original error?
Compare apples to apples here, same angles, distances, etc. Does anyone out there have a data driven comment, charts and graphs with lased distances to bring to this question?
If not, we are left with the 1850s technology of shooting your hunting iron a bunch in different situations and keeping pencil/paper notes.
What we can deduce from the TBR and HS geometry is that they are both helpful aids toward getting closer to a kill-shot. What I would like to personalize is this: shooting at a target 400 yds sightline away which is 200 yds!! (600 feet) above/below you..... Well, I think you get my point. Hell, either shot, 200 yds or 400 yds, over level terrain requires skills most mortals never strive to develop fully. Put that scenario across the bottom of a canyon where wind, thermals and adrenaline jitters become blended......who in their right mind would take that shot unless they had specifically practiced it? Not me.
I shot a LR qualifying score at 300 yds near Houston, TX during Tropical Storm Charlye in 1998, 4 inch group in the bullseye, over level ground with 190gr SMK out of a '17 Enfield, all original. Still carry the approval card in my wallet today. On other days under light breezes Kentucky was still about 14" and Tennessee was about 16-17" at 400yds over flat ground to hit the gong--aim at the base of the skull to plant the pill in the vitals or dial in a similar doping.
Point: take the shots you've practiced, to practice on game may turn out ok but is still a gamble with the game's life or suffering.
Bottom line. Nothing beats good DOPE(Data on Previous Engagements).
A bullet does not follow a strait line or even an angled line. It's flight is parabolic. So if you need say a 10% adjustment at 300 yards you might need a 60% adjustment at 900. As the bullet slows it's angle of flight increase disproportionately to the shooting angle.
This is why these little quick tricks might get you close but not perfect.
"Let glorious acts more glorious acts inspire,
And catch from breast to breast the noble fire!
On valour's side the odds of combat lie,
The brave live glorious, or lamented die;" - Iliad, Book V