Three trials of the measured angle were observed and the following data were recorded: Trial Measured Angle Time 42°31' 9:00:00 42°34' 9:02:00 42°36' 9:04:30 Find the standard error
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- Problem 8: The following are the results of the measurement of a survey line between two tripod heads, where the tape was allowed to Sag Line AB Slope Length Vertical Angle Temperature Tension 25.510m 6° 00' 20 °C 80 N The Tape weighted 0.25 N/m; had cross sectional Area of 3mm2 and was actually 30.005 m long at the time of measurements. Where the nominal length of the tape is 30.0 m Calculate the corrected horizontal length of the Line ABIn order to obtain the stadia interval factor of a certain instrument, the stadia rod was held vertically at marked distances of every 25.0m. The stadia interval at each location was observed as follows: 0.251, 0.500, 0.753, and 1.237, respectively. The instrument was then setup over station A, and the corresponding hair readings on a rod held vertically at station B were 1.050, 1.900 and 2.750 with the line of sight horizontal. Calculate the horizontal distance AB.6.37 (13th) If an EDM instrument has a purported accuracy capability of ±(3 mm = 3 ppm), what error can be expected in a measured distance of (a) 30 m (b) 1586.49 ft (c) 975.468 m? (Assume that the instrument and target miscentering errors are equal to zero.)
- A calibrated Laser level was determined to have a (HI) height of instrument 4.83 ft. A level loop was closed to a known (BM) Benchmark with an elevation of 1.69 ft. A backsight rod reading of 5.32 was recorded from a turning point before closing the loop. What is the foresight rod reading needed to close the loop "Flat" (no error)?Q2) the following table represents the field data for topographic surveying by the radiation method using theodolite and tape: Theodolite Observed Rod reading (m) V.C.R. Horizontal angle station station subtended by substance bar U M L. 74°46'32" 2.06 1.55 1.03 B 0 -00°30'00" b-2m If Azimuth AB= 202° 24'11", XA=302m, YA-302m .Compute Distance AC and XB,YB?PROBLEM II 2 points B & C were observed from point A where the instrument was set up at a height of 1.25m. Points B & C are ahead of point A. internally focusing telescope with a stadia interval factor of 100. The following data was recorded as observed for points B & c. The surveyor used an Vertical Stadia Hair Readings (m) RQD/Point Angle Upper Middle Lower -25°15' 2.316 1.877 1.438 C -45°57' 3.333 2.011 0.689 (a) What is the stadia constant of the instrument? (b) What is the slope distance between the telescope at point A and the rod reading at point B? (c) What is the difference in elevation between point B & C? (d) What is the slope distance between the ground surface at point B and the ground surface at C? (e) What is the elevation of point C if point A is at an elevation of +0316.15m above mean sea level? -end-
- 1.(a) Following observations were taken with a tacheometer for determining the R.L. of station A. Instrument Height of station Q Q Staff instrument station A 1.600 m 1.600 m 1.650 m B.M P P Vertical Angle +6°12' -4°12' +7°0' Staff reading 0.945, 1.675, 2.405 1.450, 2.380, 3.310 'X', 0.655, 1.255 Remark R.L. of B.M. = 421.625 Reading 'X'could not be observed The instrument was fitted with an anallactic lens, and the value of multiplying constant was 100.00. Calculate the R.L. of station A.4. An angle was measured six times, the observed values being 49°23'00", 49°23'20", 49°22'40", 49°22'20",49°23'40". and 49°24'00". Calculate the most probable value of the angle and the standard deviation (error) of the measurement.A stadia measurement was undertaken with a theodolite having an internal focusing telescope and stadia interval factor of 98.8. When a backsight was taken on a turning point whose elevation is 205.62 m, the rod interval observed was 1.94 m; and with the horizontal hairs set at 1.50 m on the rod, the vertical angle reading was +13⁰45’. For a foresight to a control point, the rod intercept was 1.17 m; and with the horizontal hair reading of 1.60 m on the rod, the vertical angle observed was -7⁰18’. Determine the elevation of the line of sight at the instrument point and the elevation of the point on which the foresight was taken.
- A stadia measurement was undertaken with theodolite having an internal focusing telescope and a stadia interval factor of 98.8. When a backsight was taken on a turning point whose elevation is 205.62m, the rod interval observed was 1.94m; and with the horizontal hairs set at 1.50m on the rod, the vertical angle reading was -13°45’. For a foresight to a control point, the rod intercept was 1.17m; and with the horizontal hair reading of 1.60m on the rod, the vertical angle observed was +7°18’. Determine the elevation of the line of sight at the instrument point.Q#15: The following is the data relative to observed stations made on vertically held staff with a tacheometer fitted with an anallactic lens. The constant of instrument was 100. Instrumen Height of axis Staff Stn. W.C.B Vertical Hair Readings Remarks t Stn Angle 2.56 A 12°25' 0°0' 2.88, 3.25, R.L of O = 3.62 230.25 B 60°45' +15°10' 2.83, 3.15, 3.47 Calculate the distance AB, and reduced levels of A and B. O Activate WindowsA stadia measurement was undertaken with a theodolite having an internalfocusing telescope and stadia interval factor of 98.8. When a backsight was taken on a turning point whose elevation is 205.62 m, the rod interval observed was 1.94m; and with the horizontal hairs set at 1.50 m on the rod, the vertical angle readingwas +13⁰45’. For a foresight to a control point, the rod intercept was 1.17 m; andwith the horizontal hair reading of 1.60 m on the rod, the vertical angle observedwas -7⁰18’. Determine the elevation of the line of sight at the instrument point and the elevation of the point on which the foresight was taken.