∅ = inverse sin of (0.4) = 23.58°
Explanation:
Let ∅ be the angle made by the vector with the x axis.
The given displacement vector's y component is 4 m and the magnitude of the given displacement vector is 10 m
We know that sin ∅ = opposite side / hypotenuse
Here , the given displacement vector 's y component is the opposite side and the magnitude of the given displacement vector is the hypotenuse.
Hence sin ∅ = 4/10 = > 0.4
∅ = inverse sin of (0.4) = 23.58° (Computed using the calculator)