Archery Angle Calculator

Formula

To calculate Archery Angle:

\[ AA = \arccos \left( \frac{D}{H} \right) \]

Where:

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

What is Archery Angle?

The Archery Angle is the angle at which an arrow must be shot to hit a target at a certain distance and elevation. It is calculated using the inverse cosine (arccos) of the shot distance divided by the shot elevation.

Example Calculation

Let's assume the following values:

Shot Distance \( D \) = 30 ft
Shot Elevation or Height \( H \) = 50 ft

Step 1: Divide the shot distance by the shot elevation:

\[ \frac{D}{H} = \frac{30}{50} = 0.60 \]

Step 2: Take the inverse cosine (arccos) of the result:

\[ AA = \arccos(0.60) \approx 53.13 \text{ degrees} \]