(Solved): 1. Refer to the accompanying plan view and section view of the 2-way, 4-lane highway. The coordinat ...

1. Refer to the accompanying plan view and section view of the 2-way, 4-lane highway. The coordinates (in feet) of the proposed alignment for the highway are in the accompanying table. Curve \#1 has a degree of curvature of \( 1^{\circ} 30^{\prime} \) and curve \#2 has a degree of curvature equal to \( 2^{\circ} 00^{\prime} \). Given the drawings and coordinates, compute the bearings of all tangents to the nearest second in DMS. Compute the following properties for both curves: intersection angle, radius, tangent length, curve length, long chord, middle ordinate, external distance, station of the PI, PC and PT. Compute all distances and stations in feet to four decimal places. Compute all angles to the nearest second in DMS. Compute the coordinates of the PC, PT and center of curve for both curves in feet to four decimal places. Compute the coordinates of the center line of the end of the project and the station of the center line at the end of the project. 2. Compute the subdeflection angles, chords and subchords for the first horizontal curve described in problem 1. Assume that the horizontal curve will be laid out using the incremental chord method. Tabulate the deflection angle and incremental chord data for the horizontal curve. Please see Table \( 24.2 \) in your text and use it as an example to complete this problem. 3. A spiral-circular curve-spiral will be used to connect two tangents for a highway alignment. The deflection angle of the two tangents is \( 100^{\circ} 00^{\prime} 00^{\prime \prime} \) and the degree of curvature for circular curve will be \( 6^{\circ} 00^{\prime} 00^{\prime \prime} \). The PI for the spiral is at STA \( 120+ \) 10.54. The length of the spiral curve will be 360 feet. Compute the following properties for the spiral curve: TS STA, SC STA, CS STA, ST STA, \( \theta_{s,} L_{s,} T_{s}, E_{s}, p, k_{,}, X_{c}, Y_{c}, L T \), \( \mathrm{ST} \), and LC.