Hi,
You can do this in several ways. The straight forward way would be to use the trigonometric funtions. If you filter the image you are acquiring to get the co-ordinates of the edges of the stick and also the refence to ground, as shown in the image attached, you can use the known values to calculate the angle the stick is aligned to ground.
Here, treat the picture as a 2D image, get the x,y co-ordinates of the point of interception (C) and the co-ordinates of a point in your stick (A). The difference in value of y between A and ground is your "p" and the difference in value of x between C and x value of the point (A) is your "b". Use the supplied equation to work out the angle as shown in image.
This should get you started and hope it helps.
Regards,