A chimpanzee sitting against his favorite tree gets up and walks 78.1 m due east and 52.2 m due south to reach a termite mound, where he eats lunch.

A chimpanzee sitting against his favorite tree gets up and walks 78.1 m due east and 52.2 m due south to reach a termite mound, where he eats lunch. (a) What is the shortest distance between the tree and the termite mound? (b) What direction does the shortest distance make, as a positive angle with respect to due east?