Archery Shot Angle Calculator

Calculate Shot Angle



Formula

The formula to calculate the angle of elevation is:

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

Where:

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.