# What is the formula to calculate the parallax angle?

The images were rendered in Blender. The two images were rendered 20 meters apart, side by side. The focal length is 50 mm if that matters. What is the formula to calculate the parallax angle θ as shown in the diagram?

This is similar to a previous question. How is the parallax angle actually measured?

The setup here is identical to how astronomers would calculate distances to stars. This should be much easier though.

I've not been able to find an equation that relates the foreground (the star) with the background (galaxies) to give you the angle. In this simulated case, the stars are indeed infinitely far away which is ideal.

Please try to relate that bright star near the center to the tip of the pyramid. See how it changes and how you would calculate the parallax angle from that change. In this case, the angle would have been 79.813°.

I would really appreciate this if you would show the formula and actually plug in the numbers and work it out so I can really understand it. Thank you!