From that same root umbra, we get the English… umbrella. The umbrella does protect you from the sun, actually — think of 19th century aristocratic women walking around with their sunlight umbrellas!
We also get, from the same root, the English to take umbrage — to get angry. Why? The bad things that happened that got you angry usually happened… in the shadows.
The u-mbr root is clearly visible in all the variations.