A mn walds ` 20 m` north of east and walds ` 20 m`. Calculate the net displaccement of the man. Also dind the direction fonet displacement.

Explanation

Refer to Fig. 2 (c ). 78. the net displacement to the man is

` vec (OB) = vec (OA) + vec (AB)`
wher ` OA= 20 m = AB` and angle between ` vec (OA)` and ` (OB)` is ` 60^@`
Magnitude of ` vec (OB)` is
` | vec (OB)| = sqrt( (OB)^2 + )(AB)^2 + 2 (OA) (AB) cos 60^@)` ltbRgt ` = sqrt ( 20^2 + 20^2 + 2 xx 20 xx 20 xx (1//2))` ltbRgt `= 20 sqrt 3 m`
Dierction of ` vec (OB)` ltbRgt ` tamn beta = ( 20 sin 60^@)/( 20 + 20 xx 1//2) = 1 /( sqrt 3) = tan 30^@` .
` beta = 30^@`.