Question

a man walks 5 miles due east and 7 miles southeast. how far, and in what direction is he from his starting point?
Henry
D = 5 + 7[-45o] = (5+7Cos(-45)) + (7*sin(-45))I = 9.95 - 4.95i = 11.11mi[-26.4o] = 11.11mi[26.4 S. of E.].