A highway curve (arc definition) to the right, having R = 500 m and I = 1830(,

Question:

A highway curve (arc definition) to the right, having R = 500 m and I = 18°30(, will be laid out by coordinates with a total station instrument setup at the PI. The PI station is 3 + 855.200 m, and its coordinates are X = 75,428.863 m and Y = 36,007.434 m. The azimuth (from north) of the back tangent proceeding toward the PI is 48°17(12((. To orient the total station, a back sight will be made on a POT on the back tangent. Compute lengths and azimuths necessary to stake the curve at 30-m stations.