Question 43167
If you draw the triangle diagram, you get a triangle with sides 20, 50 and 40 miles...now use the law of cosines...
c^2 = a^2 + b^2 - 2ab cos C
40^2 = 20^2 + 50^2 - 2(20)(50) cos C
1600 = 400 + 2500 - 2000 cos C
so that
cos C = .65
and
C = 49.46 degrees