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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:

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