Problem #1: Horizontal Alignment and Coordinate Geometry Given: Sufficient information is shown in Figure 1 to establish the horizontal alignment. The alignment begins at station 10+00, with the following coordinates: N 10,000 and E 10,000. The radius for circular curve #1 is 1000 feet and the radius for circular curve #2 is 2000 feet. Find: i. Curve data a. PC Stations b. PI stations c. PT stations d. Deflection angle for curves no.1 (A1) and no. 2 (A) ii. Length and bearing of tangent #1 iii. Station of point 'X', which is the end of the alignment Begin Station 10+00 N 10,000 E 10,000 Length=? Bearing=? Bearing N45°15'E 5000ft PI #2 Radius 2,000ft D2 PI #1 Д Radius 1,000ft N 8,000 E 12,000 Figure 1. Horizontal Alignment for Problem #1 (Note: graphic is not drawn to scale) Bearing S30°45'15"E 2000ft