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## Homework Statement

If the x component of a vector A, in the xy plane, is half as large as the magnitude of the vector, the tangent of the angle between the vector and the x axis is:

A rad 3

B 1/2

C (rad3) / 2

D 3/2

E 3

## Homework Equations

## The Attempt at a Solution

I first drew a right triangle and realized that the description fit a 30 - 60 - 90 triangle. Is it wrong to assume that the vector and its components make a right triangle?

So I assumed that the magitude of the vector was 2x, the x component x, and the y component (rad 3) x. The tangent of the angle between the angle and x axis I would then be (rad3)x / x = rad3.

Is this correct? According to my answer sheet, the answer is D (3/2). I dont think the solution sheet is correct