2005 AMC 8 Problem 7

Bill walks \tfrac12 mile south, then \tfrac34 mile east, and finally \tfrac12 mile south. How many miles is he, in a direct line, from his starting point?

\textbf{(A)}\ 1\qquad\textbf{(B)}\ 1\tfrac14\qquad\textbf{(C)}\ 1\tfrac12\qquad\textbf{(D)}\ 1\tfrac34\qquad\textbf{(E)}\ 2

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.