Tree Stand Shot Angle Calculator: True Shooting Distance for Your Pin
From an elevated stand, find the horizontal distance to use for your pin or holdover from the stand height and the rangefinder line-of-sight reading (or the ground distance): shot angle, cosine factor, how high you hit if you use the slant range, the gravity-only shoot-as distance, arrow flight time vs sound, the steep-angle anatomy warning and a table of angles by distance, in yards or metres.
How it works
horizontal = √(line of sight² − height²) = LOS × cos θ · θ = atan(height ÷ horizontal) · drop over the flight ≈ ½ g (d ÷ v)² · aiming for the slant range hits high by drop(LOS) × (1 − cos θ) · gravity-only shoot-as distance = LOS × √cos θ
Gravity pulls an arrow or bullet down at right angles to the ground, and only the part of that pull across your line of sight bends the shot away from the aim point. On a slanted shot that part is smaller (it is multiplied by the cosine of the angle), so a pin or holdover chosen for the full line-of-sight distance over-corrects and the shot hits high. The standard fix, the rifleman’s rule, is to use the horizontal distance to the animal, which is what angle-compensating (ARC, TBR, AMR) rangefinders show in bow mode. The calculator gives that distance from your stand height and either the rangefinder reading or the paced ground distance, plus the shot angle and cosine factor, how many inches high a slant-range aim would hit with your weapon’s speed, and the gravity-only shoot-as distance (line of sight × √cos θ), which sits between the two and shows that the horizontal rule over-corrects by a hair. At typical tree-stand heights and bow ranges the difference is a yard or two and an inch or so of impact, which matters because the vital zone of a deer is about the size of a dinner plate and shrinks when seen from above. Steeper angles also change where the arrow must enter to exit low through both lungs, which is why very steep shots are passed up rather than compensated. The table lists the angle and the slant-range error at common distances from your height, and the flight-time line compares the arrow’s travel time with the sound of the shot, the reason alert deer "jump the string". Speeds are constant and drag is ignored, so treat drop figures as the size of the angle error, not a full trajectory.
Worked example
From a 20 ft stand (6.67 yd) with a rangefinder reading 25 yd, the horizontal distance is √(25² − 6.67²) = 24.1 yd and the angle is atan(6.67 ÷ 24.1) = 15.5°, so use your 25-yard pin. A 280 fps arrow drops about ½ × 32.17 × (75 ÷ 280)² × 12 = 13.8 in over 25 yd; aiming for the full 25 yd would hit 13.8 × (1 − 0.964) = 0.5 in high, which is negligible. The gravity-only shoot-as distance is 25 × √0.964 = 24.5 yd. The arrow takes 0.27 s to arrive, while the sound reaches the deer in 0.07 s.
Sources: Wikipedia: Rifleman’s rule (shooting uphill or downhill)
Frequently asked questions
Does the same apply shooting uphill from the ground?
Yes. Gravity acts the same way uphill or downhill, so use the horizontal distance either way. For long, steep rifle shots use a ballistic app with angle input, since drag makes the simple cosine rule less exact.
Why do tree-stand shots usually miss high?
Several reasons stack: using the slant range, dropping the bow arm instead of bending at the waist (which changes the anchor), and misjudging distance from above. Practise from the stand height at a 3D target to fix all three.
How do I work out the horizontal distance without an angle rangefinder?
Multiply the line-of-sight reading by the cosine of the angle: 0.98 at 10°, 0.94 at 20°, 0.87 at 30°, 0.71 at 45°. Or pace and mark distances on the ground around your stand before the hunt and use those.
What stand height is best for bowhunting?
Many bowhunters hunt 15–20 ft up: high enough to stay out of sight and above the scent stream, low enough that shots at 15–25 yd stay under about 20–25°, which keeps a good double-lung angle.
Where should I aim on a deer from a tree stand?
Pick the exit point first: the arrow should leave low behind the far-side leg. From above that means entering higher on the near side than on a level shot, about a third of the way up the chest at moderate angles, and passing on very steep shots straight down.
Related calculators
Beekeeping and hunting rules of thumb from extension services and experienced practice. Colonies, climates, game and local regulations vary — follow your regional beekeeping association, wildlife agency rules and safe, ethical hunting practice.