To find out why German is very much worth studying, visit at least some of the web sites listed below.

"Twelve Reasons Why You Should Start Learning German Today" notes, among other things, both the importance of the German economy and the fact that German is the most widely spoken language in Europe.
http://www.vistawide.com/german/why_german.htm

As Dartmouth's web site makes clear, ". . . a knowledge of German grants access not only to rich literary, philosophical, and artistic traditions but also to many other kinds of contemporary cultural, economic, political, and scientific developments."
http://www.dartmouth.edu/~german/gerwhy.html

The University of Michigan notes, among other things, that "German is the language most often required or recommended in academic programs."
http://www.lsa.umich.edu/german/german/why/

Oklahoma State University's web site mentions, among other things, that among those who study a foreign language, those who study German score highest on the verbal portion of the SAT.
http://germanonline.okstate.edu/index.php?option=com_content&task=view&id=21&Itemid=34

Virginia Tech's web site includes both solid reasons for studying German and an amusing article written by a professor at Johns Hopkins University. The article draws attention to many German words used in English.
http://www.fll.vt.edu/German/whygerman.html

At least one friendly Australian site suggests why German is useful in many careers.
http://www.germanlinx.vic.edu.au/careers/whyger.htm

The Goethe Institute in Australia states many of the reasons for learning German just a bit differently.
http://www.goethe.de/ins/au/lp/prj/bri/dle/enindex.htm