in the construction of a guitar,it is important to consider the tapering of the strings and neck. The tapering affects the tone that the strings make. For the Six String Nation Guitar shown, suppose the width of the neck is tapered from 56mm to 44mm over a length of 650mm. What is the angle of the taper for one side of the guitar strings?
The taper angle is given by
tanΘ = 6 / 650
And using the tangent inverse to find Θ, we have
tan-1(6/650) = about .529°
Here's a pic.....(1/100th scale).....the taper angle is GDB....