Question

vector v has a horizontal vector component with magnitude 19 and a vertical vector component with magnitude 35. what is the acute angle theta formed by v and positive x-axis?

Answer 1

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Answer:

61.5°

Explanation:

The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.

Tan = Opposite/Adjacent

tan(α) = 35/19

α = arctan(35/19) ≈ 61.5°

The angle made by v and the positive x-axis is 61.5°.