Avector has an x-component of length 8 and a y-component of length 2. what is the angle of the vector? (hint: use the inverse tangent.)

14.04 deg

Explanation:

Consider a right triangle ABC whose hypotenuse represent the vector itself.

x = x-component of the vector = adjacent "BC" of triangle ABC =  8

y = y-component of the vector = opposite "AC" of triangle ABC = 2

θ = angle of the vector

In triangle ABC, using trigonometric ratio

tanθ = AC/BC

tanθ = 2/8

tanθ = 0.25

θ = tan⁻¹(0.25)

θ = 14.04 deg

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