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 SUR 222 Plane Surveying
SUR 222 Plane Surveying
HOMEWORK #5 (20 pts)
Use engineering computation paper, Excel or a word processed document
 Compute the corrected (reduced) value of each of the following zenith angles:
Direct

Reverse

a. 88^{0} 51” 10”

271^{0} 09’ 10”

b. 89^{0} 44’ 14”

270^{0} 15’ 24”

c. 83^{0} 06’ 12”

276^{0} 52’ 28”

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

Zenith angle

Slope distance

a.

89^{0} 03’ 10”

234.76’

b.

88^{0} 59’ 23”

250.03’

c.

89^{0} 51’ 14”

1,322.70’

 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 88^{0} 49’ 27” and a reverse zenith angle of 271^{0} 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.
 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 90^{0} 02’ 13” and reverse zenith angle reading of 269^{0} 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.
 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

89^{0} 29’ 14”

287.43’

K

86^{0} 14’ 58”

254.39’

L

92^{0} 48’ 22”

214.87’

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