Answer:
The west axis component of walk is, A = 5 miles
The east axis component of walk is, B = 8 miles
Step-by-step explanation:
Given data,
The displacement of hiker south of west, R = 9.4 miles
The angle formed south of west, Ф = 60°
The vector components along,
 the west axis is 
 A = R cosФ
 A = 9.4 x cos 60
 A = 4.7 miles
 A = 5 miles
The west axis component of walk is, A = 5 miles
 the south axis is
 B = R sinФ
 B = 9.4 sin 60
 B = 8.14 miles
 B = 8 miles
The east axis component of walk is, B = 8 miles