Depends what kind of job you want. If you are attracted to the management side of running an airline, then absolutely go for it! Some airlines even require graduate trainees to have a business-oriented degree, so this will definitely stand you in good stead.
On the other hand, some airlines just require you to have 'a' degree in any discipline; for example, BA
's management trainee program (when it was last open) required a degree in any discipline.
You might want to check out Cranfield University's website; there is quite a lot of info there, related to aviation management degrees. You could really go on to do any job you liked though - doesn't necessarily have to be in the field of aviation. You could still become a pilot, an aviation analyst, management consultant (yuck...).....whatever.
I'd skim through a few books if I were you, just so that you get a flavour of what it's like. I was once interested in taking an aviation management course until I read on of the Airline Finance books......yuck! To darn complicated for my simple mind!
Check out 'Flying off-course' by Rigas Doganis (any edition, although the 3rd is the newest I think). That's a fairly good summary of what you can expect.
'Cleared for take-off' by Thomas Lawton (Ashgate Publishing) is quite interesting, if you're interested in low-cost airline economics (especially on the Ryanair business model, which the book worships...)