Avector has an x-component of length 10 and a y-component of length 3. what is the angle of the vector? (hint: use the inverse tangent.)

The vector, the x-component and the y-component form a rectangle triangle where the vector is the hypothenuse and the x and y components are the two sides.
Calling the angle between the vector and the horizontal direction (x), the two sides are related to by

where vy and vx are the two components on the y- and x-axis. Using vx=10 and vy=3 we find

And so the angle is

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