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Let's start at the beginning of the taper, where the opening is zero, and go out a foot until it opens to 3/4 inch. We have a long skinny triangle. The line down the middle is 1 ft long, the line that closes off the open end is 1-1/2 inches. The line down the middle divides the long skinny triangle into 2 back-to-back right triangles. Each one has a 12-inch leg and a 3/4-inch leg. The angle back at the pointy starting end of each triangle is half of the angle we're looking for. That [half]-angle is tan-1(.75/12) = tan-1(0.0625) = 3.576 degrees (rounded) The whole angle is 7.153 degrees (rounded)

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Q: How many degrees are there in an inch and a half of taper per foot?
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