Question Number 10475 by ketto last updated on 13/Feb/17

aman walks 600m at a bearing of   45^(0 ) then 500m at a bearing 90^0    then 300m at bearing of 135^(0 )    then 400m at a bearing of 225^0   .find the resultant displacement  which the man has made

Answered by sandy_suhendra last updated on 13/Feb/17

ΣF_x =600 cos 45° + 500 cos 90° + 300 cos 135° + 400 cos 225°           =300(√2) + 0 −150(√2) − 200(√2)           =−50(√2) m  ΣF_y  = 600 sin 45° + 500 sin 90° + 300 sin 135° + 400 sin 225°                   = 300(√2) + 500 + 150(√2) −200(√2)            = (250(√2) + 500) m  F_R  = (√((−50(√2))^2 +(250(√2)+500)^2 ))         =856.48 m