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Problem #$1$: Horizontal Alignment and Coordinate Geometry

Given:

Sufficient information is shown in Figure $1$ to establish the horizontal tangents. The radius for circular curve #$1$ is $1500$ 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 curve no$.1$

ii$.$ Bearing of tangent #$2$

iii. Station of point $\text{'}x\text{'},$ which is the end of the alignment

iv$.$ Coordinates for PI stations #$1$ and #$2$