A vector 𝑣⃗ has magnitude 120 and angle 𝜃 = 42°. Find 𝑣𝑥 and 𝑣𝑦.

Answer 1

Assume that angle θ is formed with the x-axis :

v_x=v.cosθ

v_y=v.sinθ

here θ=42 and v=120

substitute

Answer 2

Draw and label a diagram!

sin 42° = y / 120

cos 42° = x / 120