Archery Shot Angle Calculator

Formula

The formula to calculate the angle of elevation is:

\[ \theta = \tan^{-1}\left(\frac{\text{height}}{\text{distance}}\right) \]

Where:

\( \theta \) is the angle of elevation in degrees.
\( \text{height} \) is the elevation or height difference between the shooting position and the target in feet.
\( \text{distance} \) is the distance from the shooting position to the target in feet.

Example

Let's say the shot distance is 50 ft and the shot elevation or height is 10 ft. Using the formula:

\[ \theta = \tan^{-1}\left(\frac{10}{50}\right) \]

We get:

\[ \theta = \tan^{-1}(0.2) \approx 11.31^\circ \]

So, the angle of elevation is approximately 11.31 degrees.

What is the Angle of Elevation?

The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object. In archery, it is crucial for determining the correct aim to hit a target at a different elevation.