Refer to the diagram shown below.
The resultant velocity of the steamboat, V, is the vector sum of Vx and Vy.
The magnitude of V is
V = √(6² + 8²) = 10 km/h
The angle which V makes above the x axis is
θ = tan⁻¹ (Vy/Vx) = tan⁻¹ (8/6) = 53.13°
Answer:
The steamboat moves at 10 km/h, at an angle of 53° above the x axis.
