The popular image of a tall, narrow iceberg is wrong:
While it’s true that only ~ 10% floats above the surface of the water, the “classic” orientation is unstable and would actually not be found in nature. An elongated iceberg would not float on its head, but instead on its side.
Generally, icebergs will float so their long axis is parallel to the ocean surface. See for yourself with this iceberg flotation simulator!