Two tangents of a spiraled horizontal curve meet at a deflec…

Two tangents of a spiraled horizontal curve meet at a deflection angle, I = 41°00’00”. The radius of the circular curve portion is 1300 feet and the length of spiral is 325 feet. The X and Y coordinates of the SC point for a spiral curve have been computed as 324.49’ and 13.53’, respectively. What is the chord distance from the TS to the SC (to the nearest hundredth of a foot)?

Part 2.. Question 5: The equation of line AB is y=2.34x+120….

Part 2.. Question 5: The equation of line AB is y=2.34x+120.45. Line CD is perpendicular to AB and intersects the y axis at the point (0, 370.45). Determine the coordinates of the intersection point of the lines AB and CD (All linear units are in meters), check your calculations (5 points) and supply them with your calculations. Answer: The Coordinates of the intersection point are: X = [blank1] m and Y =  [blank2] m (round to the closest cm)

Part 1…Question 1: The figure below shows the center line…

Part 1…Question 1: The figure below shows the center line of the right-of-way for the pipeline LM and a circular property line. The radius of the circular property line is 750.00m and the azimuth of the line LM is 104o 30’ 24”. The (X,Y) coordinates of points M and C (expressed in meters) are (2249.92, 2640.67) and (2561.05, 2110.45), respectively. P is the point of intersection between the circular property line and the pipeline segment LM. Compute the length and the azimuth of the line CM. Distance CM = [blank1] m and Azimuth of CM = [blank2] deg [blank3]min [blank4] sec  

Part 1 CONTINUED… QUESTION 4: The figure below shows the c…

Part 1 CONTINUED… QUESTION 4: The figure below shows the center line of the right-of-way for the pipeline LM and a circular property line. The radius of the circular property line is 750.00m and the azimuth of the line LM is 104o 30’ 24”. The (X,Y) coordinates of points M and C (expressed in meters) are (2249.92, 2640.67) and (2561.05, 2110.45), respectively. P is the point of intersection between the circular property line and the pipeline segment LM. Determine the coordinates of the intersection point (P) between the line LM and the circular property line and check your calculations (10 points).  Please type the calculation checks and supply them with your calculations.   Coordinates of P are X = [blank1] m and Y = [blank2] m (round to the closest cm i.e. second decimal digit)  

An incoming grade of -1.60% meets an exiting grade of +3.5%…

An incoming grade of -1.60% meets an exiting grade of +3.5% at a PVI having station 17+66.74 and elevation 119.33’. An unequal tangent vertical curve is designed to meet these tangents, with horizontal lengths of the curve before and after the PVI of 700.00’ and 300.00’, respectively. What is the grade of the inserted tangent?

Part 1 CONTINUED…QUESTION 2: The figure below shows the ce…

Part 1 CONTINUED…QUESTION 2: The figure below shows the center line of the right-of-way for the pipeline LM and a circular property line. The radius of the circular property line is 750.00m and the azimuth of the line LM is 104o 30’ 24”. The (X,Y) coordinates of points M and C (expressed in meters) are (2249.92, 2640.67) and (2561.05, 2110.45), respectively. P is the point of intersection between the circular property line and the pipeline segment LM. Compute the angle CML, which is the angle-to-the-right (clockwise direction) from the direction MC to the direction ML.    The angle CML is [blank1] deg [blank2] min [blank3] sec (round to the closest second)