19.A series of perpendicular offsets were taken from a transit line to a curved boundary line. These offsets werre taken 9 meters apart and were taken in the following order: 2 m., 3.2 m., 4 m., 3.5 m., 5 m., 4.5 m., 6 m., 7 m. determine the area inculed between the transit and curved using trapezoidal rule.

20.The upper and lower readings on a stadia rod held at station B were observed as 3.50 m and 1.00 m., respectively, with the use of a transit with an interval focusing telescope and having a stadia interval factor of 99.5. The height of instrument above station A is 1.45 m. and the rod reading is taken at 2.25 m. If the vertical angle observed is -Ϯϯ°ϯϰ’. DeterŵiŶe the differeŶĐeof elevation between the two stations.

21.Three shore station C, D and E are triangulation observation points with CD = 615 m. and DE = 625 m. Angle EDC is 125°. A hydrographer at point D wanted to know his position with respect to the triagulatioŶ poiŶts, he ŵeasured aŶgle CBD = ϰϯ° aŶd DBE = ϰϮ°ϯϬ’. Coŵpute the distaŶĐe BC.

22.A simple curve has a central angle of 36° and a degree of curve of 6°. Find the nearest distance from the mid point of intersection of the tangents.

23.A simple curve of proposed extension of Mantabahadra Highway have a direction of tangent AB which is due north and tangent BC bearing N 50° E. Point A is at the P.C. whose stationing is 20 + 130.46. The degree of curve is 4°. Compute the stationing of point D on the curve along a line joining the center of the curve which makes an angle of 54° with the tangent line passing thru the P.C.

24.The tangent of a simple curve have bearing of N 20° E and N 80° E, respectively. The radius of the curve is 200 m. Compute the middle ordinate of the curve.

25.The tangent distance of a 3° simple curve is only ½ of its radius. Compute the area of fillet.

27.The perpendicular offset distance from point A on a simple curve tto Q on the tangent line is 64 m. If the distance from the P.C. to Q on the tangent is 260 m. Compute the length of curve from P.C to A.