A bed strikes 065 degrees and dips 24 degrees NW. What is its apparent dip in a road cut trending 052 degrees?. This amounts to finding the intersection of two planes except that it's simpler because one is vertical.
1. Plot the bed as a great circle.
2. Draw a radial line with the azimuth of the road cut. The road cut is a vertical plane, hence a vertical great circle.
3. Rotate the road cut until it lies on a great circle (it does not matter which one) and count off the apparent dip.
4. Rotate the overlay to its original orientation.