Calculating distances in space using trigonometry can be pretty tough.

First, let’s look at some of the challenges we face:

• Limited Visibility: When we try to see faraway stars and galaxies, we need very accurate measurements. Sadly, things like weather can make it hard to see clearly.

• Complex Calculations: One way we measure distances is by using the parallax method. This means we look at angles from two different spots. However, this can get tricky, especially when the angles are really small.

Even with these challenges, we can still find solutions:

1. Advanced Tools: We can use special telescopes that have accurate measurement systems. These help us see and calculate better.

2. Mathematical Techniques: We use a specific formula for figuring out distance.

   The formula looks like this: $d = \frac{1 \text{ AU}}{\tan(\theta)}$ Here, $d$ stands for distance, and $\theta$ is the angle we measured.

By using these tools and techniques, astronomers can get a better understanding of how far away things are in space!