SUR 222 Plane Surveying

HOMEWORK #5 (20 pts)

Use engineering computation paper, Excel or a word processed document

1. Compute the corrected (reduced) value of each of the following zenith angles:

2. Given the following reduced zenith angles and slope distances, compute the horizontal and vertical distances.

3. A total station is set at a height of 4.37 feet above a control point which has an elevation of 3910.71 feet. A direct zenith angle reading of 88⁰ 49’ 27” and a reverse zenith angle of 271⁰ 10’ 49” and a slope distance of 821.45 feet are observed to point K. The target height at point K is 6.00 feet. What is the elevation at point K? Be sure to correct the zenith angle to correctly do the computations.
4. A total station is set up on point A. A backsight is observed at point B which has an elevation of 3902.44 feet. The height of the instrument is 4.89 feet and the height of the target is 5.73 feet. A direct zenith angle reading of 90⁰ 02’ 13” and reverse zenith angle reading of 269⁰ 58’ 22” and a slope distance of 187.56 feet are observed. What is the elevation at point A? Be sure to correct the zenith angle to correctly do the computations.
5. A total station is set over a control point at a height of 5.17 feet. The elevation at the control point is 3988.38 feet. The prism is set at a height of 6.00 feet. The following zenith angles and slope distances are measured to the prism pole as it is moved from one point to the next:

What are the elevations of points J, K and L?