Enter the shot distance (ft) and the shot elevation or height (ft) into the Calculator. The calculator will evaluate the Archery Angle. 

Archery Angle Formula

AA = ACOS (D/H)

Variables:

  • AA is the Archery Angle (degrees)
  • D is the shot distance (ft)
  • H is the shot elevation or height (ft)

To calculate Archery Angle, take the inverse cosine of the shot distance over the shot elevation.

How to Calculate Archery Angle?

The following steps outline how to calculate the Archery Angle.


  1. First, determine the shot distance (ft). 
  2. Next, determine the shot elevation or height (ft). 
  3. Next, gather the formula from above = AA = ACOS (D/H).
  4. Finally, calculate the Archery Angle.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

shot distance (ft) = 600

shot elevation or height (ft) = 213

FAQ

What is the significance of calculating the Archery Angle?

Calculating the Archery Angle is crucial for archers to understand the trajectory of their arrows. It helps in making adjustments for elevation differences between the archer and the target, ensuring higher accuracy in shots.

Can the Archery Angle formula be used for other projectiles?

Yes, the Archery Angle formula can be applied to other projectile calculations where elevation and distance are factors, such as in ballistics and other sports like golf where trajectory is important.

How does elevation affect the accuracy of an arrow?

Elevation affects the gravity’s pull on the arrow. The higher the elevation difference, the more significant the impact on the arrow’s trajectory. Calculating the correct Archery Angle compensates for these differences, enhancing accuracy.

Are there any tools or devices that can help measure the Archery Angle in real-time?

Yes, there are several modern devices, such as laser rangefinders with inclinometers, that can measure distances and elevation changes, providing real-time data to calculate the Archery Angle for improved accuracy in archery.