Recent i have been chatting with JUNKKING about thinking in MOA, and trying to help him grasp the concept.. Last night we were doing mental conversion exercises in the chatroom, He and I and H-D. H-D is very well versed in thinking in MOA, so he was a huge help.
But all that conversion exercise got me to thinking about finding an easier way to calculate hold over for shooting over angles. (angles as in aiming at a distant deer on top of a large hill or mountain side while you are on the low ground)..
I was pouring thru a bunch of my HS math notes (Yeah I know Im a dork, I keep stuff like that) and I came across some of my old geometry and trigonometry notes. And I found something that seemed to work.. So I did an internet search and came across the NASA website that lists the cosine for angles from 0.0 degrees thru 90.0 degrees. which ill get to in a moment..
If your were taught to shoot by your dad or grandad or in the boyscouts you were taught that when you aim at a target thats elevated from your postion, or you are elevated from its poition you always aim low, other wise the bullet will soar over the top of the target right.. Thats the way my grandad taught me..
The reason is becasue the line of sight, being the hypotenuse of the triangle (long side) is longer than the distance the bullet is effected by gravity, which is the base of the triangle (adjacent).. Normally you would laser the line of sight, record that figure and use and estimated angle from your line of sight to the target to calculate holdover which works, but it takes too damn long. Other method is to just hold low and hope the bullet strikes the target which works good a short ranges but is hit and miss at longer ranges.
I figured a way to figure the hold over using the cosine and the lasered straightline distance to the target. in about 10 seconds on your cell phone calculator, or in your head if youre quick at math..
Its simple and its dead accurate. simply multiply the straight line distance by the cosine of the angle youre shooting over. You can estimate the angle or if you have a fancy shooters angle use it.
Heres an example.. You have a whitetail deer at a lasered 700 yds up on the side of a large hill. you ar at the base of the hill in some cover and have a clear line of sight. the angle youre shooting over is roughly 40 degrees. The cosine for a 40 degree angle is .7760 so your holdover distance is 700X.7760 or 77.6% of the full value. 700X.7760 is 543.2, so you would calculate ballistics for 543.2 yards and take the shot.
Another example. You are varmint hunting and have your rest set up over a small cliff overlooking a gopher infestation. the heart of the colony is a lasered 228 yds from your muzzle. so you have a 228 yd line of sight shooting down hill at a measured 45 degree angle. the cosine of a 45 degree angle is .7071. so again you would multiply your line of sight, 228 yds by .7071.. 228X.7071= 161.218 so you would aim at those unlucky gophers like they were a hair over 161 yds away.
It simpl eand its quick. and all you need to do is get good at estimating angles, or buy a shooters level and print the cosine chart from the NASA webpage here..
http://www.grc.nasa.gov/WWW/k-12/airplane/tablcos.html
Enjoy fellas. I know I will..
But all that conversion exercise got me to thinking about finding an easier way to calculate hold over for shooting over angles. (angles as in aiming at a distant deer on top of a large hill or mountain side while you are on the low ground)..
I was pouring thru a bunch of my HS math notes (Yeah I know Im a dork, I keep stuff like that) and I came across some of my old geometry and trigonometry notes. And I found something that seemed to work.. So I did an internet search and came across the NASA website that lists the cosine for angles from 0.0 degrees thru 90.0 degrees. which ill get to in a moment..
If your were taught to shoot by your dad or grandad or in the boyscouts you were taught that when you aim at a target thats elevated from your postion, or you are elevated from its poition you always aim low, other wise the bullet will soar over the top of the target right.. Thats the way my grandad taught me..
The reason is becasue the line of sight, being the hypotenuse of the triangle (long side) is longer than the distance the bullet is effected by gravity, which is the base of the triangle (adjacent).. Normally you would laser the line of sight, record that figure and use and estimated angle from your line of sight to the target to calculate holdover which works, but it takes too damn long. Other method is to just hold low and hope the bullet strikes the target which works good a short ranges but is hit and miss at longer ranges.
I figured a way to figure the hold over using the cosine and the lasered straightline distance to the target. in about 10 seconds on your cell phone calculator, or in your head if youre quick at math..
Its simple and its dead accurate. simply multiply the straight line distance by the cosine of the angle youre shooting over. You can estimate the angle or if you have a fancy shooters angle use it.
Heres an example.. You have a whitetail deer at a lasered 700 yds up on the side of a large hill. you ar at the base of the hill in some cover and have a clear line of sight. the angle youre shooting over is roughly 40 degrees. The cosine for a 40 degree angle is .7760 so your holdover distance is 700X.7760 or 77.6% of the full value. 700X.7760 is 543.2, so you would calculate ballistics for 543.2 yards and take the shot.
Another example. You are varmint hunting and have your rest set up over a small cliff overlooking a gopher infestation. the heart of the colony is a lasered 228 yds from your muzzle. so you have a 228 yd line of sight shooting down hill at a measured 45 degree angle. the cosine of a 45 degree angle is .7071. so again you would multiply your line of sight, 228 yds by .7071.. 228X.7071= 161.218 so you would aim at those unlucky gophers like they were a hair over 161 yds away.
It simpl eand its quick. and all you need to do is get good at estimating angles, or buy a shooters level and print the cosine chart from the NASA webpage here..
http://www.grc.nasa.gov/WWW/k-12/airplane/tablcos.html
Enjoy fellas. I know I will..