How to find your rising sign without an app
The arithmetic behind the ascendant, and a rough method you can do on paper.
Software will give you an exact answer in seconds. Knowing roughly how it is derived is still worth ten minutes, because it tells you where the errors come from.
The idea
The whole zodiac passes over the eastern horizon once every twenty four hours. Twelve signs, twenty four hours, so roughly two hours per sign. At sunrise, the rising sign is approximately your Sun sign. Every two hours after sunrise, it advances one sign.
The paper method
Start with your Sun sign. Work out roughly how many hours after sunrise you were born. Divide by two, round down, and count that many signs forward from your Sun sign. Born four hours after sunrise with a Taurus Sun, you count two signs on and land near Cancer rising.
Why that is only approximate
Signs do not actually rise at equal speed. The angle between the ecliptic and the horizon changes through the day and with latitude, so some signs take much longer to rise than others. Near the poles it becomes extreme, and some signs barely rise at all.
That distortion is exactly what house systems disagree about, and it is why Placidus and whole sign can put a planet in different houses.
When to trust the shortcut
Use it as a sanity check on software, never as the answer. If the app says Sagittarius rising and the paper method says roughly Sagittarius, your birth time is probably entered correctly. That is what it is good for.