find the resultant of following displacements:
(a) 20km 30 degree south of east (b) 50km due west (c) 40km north east (d) 30km 60 degree south of west

Question

find the resultant of following displacements:
(a) 20km 30 degree south of east (b) 50km due west (c) 40km north east (d) 30km 60 degree south of west

anonymous · Answer

Use trig to break down each vector into NSEW components.
20km * sin(30) = 10.0 km south
20km * cos(30) = 17.3 km east
50km west
40km * sin(45) = 28.3 km north
40km * cos(45) = 28.3 km east
30km * sin(60) = 28.0 km south
30km * cos(60 = 15.0 kmk west
sum comes to 19.4 km west 9.7 km south
21.7 km 26.6° south of west