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QUIZ NO. 1 (100PTS) READ INSTRUCTIONS CAREFULLY: 1. Answers without solution or improper solution will be considered incorrect. 2. Answers without unit or incorrect unit will be considered incorrect. 3. Final answers must be in 3 decimal places. 4. Box your final answers only. PART 1: OBJECTIVE TYPE (1PT EACH) 1. Type of surveying in which the earth is considered to be a flat surface, and where distances and areas involved are of limited extent that the exact shape of the earth is disregarded. 2. Type of measurement where the observed value is determined by its relationship to some other known values. 3. Units of angular measurement are the degree, minute, and second. 4. Inaccuracies in measurements which occur because some aspect of a surveying operation is performed by the surveyor with carelessness, inattention, poor judgment and improper execu- tion. 5. Refers to a quantity which, based on available data, has more chances being correct than has any other. 6. Referred to as the deviation, is defined as the difference between any measured value of a quantity and its most probable value 7. It is a quantity which, when added to and subtracted from the most probable value, defines a range within which there is a 50 percent chance that the true value of the measured quantity lies inside (or outside) the limits thus set. 8. It is expressed by a fraction having the magnitude of the error in the numerator and the magni- tude of the measured quantity in the denominator. 9. It is equivalent to two paces or a double step. 10. It is used to determine subtended intervals and angles on a graduated rod or scale from which distances are computed by trigonometry. PART 2: PROBLEMS (6PTS EACH) 1 Measurement ofthe interior angles of 2 triangle are: UNC—42"32'S0", ACB 6/°28'20", and CBA O8S9"B5”. Determine the most probable value of the angle ACB, 2 Ihe following oistances were determined ina series of tape measurements of ane: 102.2, 102.3, 102.2, 102.4, 102.25, and 102.35 meters, Determine the following: «Probate valk: stance + Probable error of the mean + Pretision of measurement 2. Four measurements ca dlistaress wort acta as 784.18, 284.49, 284.22, an 284.20 cles and plven weights of 2,2, 3, and 4, -espectively. Determine the weighted men, 4 Lines of levels te establish Une elevation of apeint are urs over Tour different routes The ob served elevations of the paint 1 h probable errars are given below. Uetermine the mest proba ble value of the elevation af the point 5. fv eas walking lena # 9m curse! on Ing level ground pace Hoe assurvey pathy counted 50, 51.5, 50.5, 54, and 48.5 srldes wespoctively. He Len slarLeel walking on unkown die tance XY in four trials which were recorded 8s felons: 89, WY, and strides. Determine the following: 4 Pace actor ul he te ‘Length offine x¥ 4 Priceage of err i Ms mesic Laps gh is 15. ft a certain distance, the subtended angle of a2-m long subtense bars measured by 2 theado- lite, the theodolte is moved 100m farther and the subtended angle measured s half the sub tended angle at the frst ane. Netermine the tinal horinantal distance tram the theadalite ta the oil c e t. 7A twctangus lol as mised sing 2 50 lee ape vey ns oun Ue 0.0% shor. excretory ara vy te te 280.48 a 297.08 7e, sp ly, lesan he flees «actual dimensions of the lat 110 sae aps ere ase, val sh i sons Lil en Te a 3080 so rectangular: fol? 8.900 tt Laps sed Kv eases sane HB a Cafe be 180.28 long During measurement, the tape i supported atthe ends under 2 pullof 10k and the cbserved mean temperature is 41°C. he tape is of standard length st 20°C and 3 tonsion of 22kg, the cross sectional aes of the tape is vse, the coefficient of linear expansion is 0.UDO0LLB/"C and the modulus of elasticity of steal is 7.0210 kgfem?. The tape wrighs 15kg. Neteerine the tllowing Toa esto spas «Total correction due to sag «Correct length of the line