Kim an entrepreneur students walks 20m,30°NE,then turns N 30m,and takes 40m W and finally 20m 45°SE to reach the building for his next class.what is kims total displacement

Answer 1

D=20[30o] + 30[90o] + 40[180o]+20[315o]

X=20*Cos30+30*Cos90+40*Cos180+20*Cos315 =

Y=20*sin30+30*sin90+40*sin180+20*sin315
=

Tan A = Y/X. A = ?.

D = X/Cos A, or Y/sin A.