Geometry Problem: Find Measure of HG & X-Axis Angle

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To find the angle formed by line HG and the x-axis, the problem involves a circle centered at the origin with a radius of 2 and point H located at (√3, 1). The angle can be calculated using trigonometric functions, specifically the tangent function, which relates the opposite side to the adjacent side in a right triangle. The teacher's provided answer of 30 degrees suggests that the angle corresponds to a specific ratio of the coordinates of point H. Utilizing basic trigonometry should lead to the correct solution for the test.
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I have a test tomorrow and this is one of my review problems.
"Circle G is centered at the origin with radius 2. Point H is on the circle at (radical 3, 1). What is the measure of the angle formed by HG and the x-axis?" My teacher told me the answer is 30 degrees, and after much trial with this, I have no idea how to arrive at this answer. PLEASE help as this will most likely be on my test tomorrow!
Thanks,
 
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on second thought, I'll use trig functions to solve. I think this should work.
 
Yes, it's elementary trig. Think of the tangent of the angle.
 

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