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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:

Direct

Reverse

a. 880 51” 10”

2710 09’ 10”

b. 890 44’ 14”

2700 15’ 24”

c. 830 06’ 12”

2760 52’ 28”

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

Zenith angle

Slope distance

a.

890 03’ 10”

234.76’

b.

880 59’ 23”

250.03’

c.

890 51’ 14”

1,322.70’

  1. 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.
  2. 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.
  3. 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:

Point

Zenith

SD

J

890 29’ 14”

287.43’

K

860 14’ 58”

254.39’

L

920 48’ 22”

214.87’

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

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