a man walks 10km towards west and then 15 km towards south. Find the resultant vectors, magnitude and direction.

1 answer

X = hor. = -10km.

Y = ver. = -15km.

tanAr = y/x = -15 / -10 = 1.50,
Ar = 56.3 deg. = reference angle,
A = Ar + 180 = 56.3 + 180 = 236.3 deg.

R = X / cosA = -10 / cos236.3 = 18km @
236.3 deg., Q3.