A cyclist travels a distance of 1200m due north before going 200m due east followed by 500m south-west.Draw a scale diagram to calculate the cyclist's displacement from her initial position.

Answer 1

D = 1200m[90o] + 200[0o] + 500[225o].

X = 1200*Cos90 + 200*Cos0 + 500*Cos225 =
Y = 1200*sin90 + 200*sin0 + 500*sin225 =

Tan A = Y/X, A = ?.

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