Not only can you add spacers and flip the stem so as to change the angle by a good amount, probably about 20 to 30 degress, on Specialized bikes there's also an eccentric shim inside the stem where it clamps on the steerer and reversing this raises or lowers the stem by 10 degrees.
Another adjustment you can make is to rotate the handlebars backwards so that the tops of the bars and the brake hoods are horizontal or even tilted up towards you, which I find more comfortable anyway.
Finally, if you're not wearing a helmet, are you wearing a cap? I find that the peak of a cycling cap cuts off a couple of degress from the top of my field of vision forcing me to raise my head and giving me a sore neck.