The formula to calculate the angular size is:
\[ \text{D} = 2 \times \text{L} \times \tan \left(\frac{\text{a}}{2}\right) \]
Where:
Angular size refers to the apparent size of an object as seen from a particular point. It is a measure of the angle that the object subtends at the point of observation. This concept is commonly used in astronomy and other fields to describe the size of objects in the sky.
Let's assume the following values:
Using the formula:
\[ \text{D} = 2 \times 10 \times \tan \left(\frac{30}{2}\right) \approx 2 \times 10 \times \tan(15) \approx 2 \times 10 \times 0.2679 \approx 5.358 \text{ units} \]
The Angular Size is approximately 5.358 units.
Let's assume the following values:
Using the formula:
\[ \text{D} = 2 \times 20 \times \tan \left(\frac{45}{2}\right) \approx 2 \times 20 \times \tan(22.5) \approx 2 \times 20 \times 0.4142 \approx 16.568 \text{ units} \]
The Angular Size is approximately 16.568 units.