The angle between the direction of its motion and the y-axis is 41.8⁰.
The angle between the direction of its motion and x axis is calculated from the formula of horizontal component of the velocity.
Vx = Vcosθ
where;
8 = 12 x cosθ
cosθ = 8/12
cosθ = 0.6667
θ = arc cos(0.6667)
θ = 48.2⁰
θ_y = 90 - 48.2⁰ = 41.8⁰
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