One of the most common ways to add dramatic effect to a photograph is to use an interesting or unusual camera angle.
Many shots can be given added impact by simple changes in the camera view. The photo on the top right has quite a nice composition, but the effect is much more dramatic when the camera is rolled to the right.
When the subject is a person, different angles can have a strong influence on how they are perceived. A photo looking down at a person can make them look diminished, or perhaps down-to-earth, informal, etc. A photo looking up at someone can make them look powerful or imposing.
In the image below, the subject presents a non-threatening friendly face.
The subject in the next photo has a more "I'm in charge" feel.
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