gta05-02-029 Conversion Factors And Common Formulas

gta05-02-029 Conversion Factors And Common Formulas -...

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Unformatted text preview: ““5335 COMPUHTIIJN Algebraic signs of trig lunctions by uunnnnnr GTA 05-02-029 AUGUST 1987 Scale Factor {Geodetic Distance] = K Duadl All Pos K = K0 1 XVIII 3 0.00003 ‘ Duad II Sin {+1. Cos 1—]. Ian (—1 Ital: 0.59996” + q 1 Quad lll Sin {—l. 005 1-]. Tan [+1 I: = 0.000001 x 0' Quad Iti Sin {..1._ Cos (+t. Tan [-1 Scale Factor {Horizontal Distance} = K' 0° K' = K x SLC sr.c = i _ mean neutron menu enorus or seem 0 fl. . Mean Radius ol Earth = 5.372.000 m or 20.906.000 n 27" 90° v E H s I 0 N AN = Grid Dist x Cosine 0i Azimuth w encrons AE = Grid Dist x Sine 01 Azimuth Linear Error 0i Closure [LED] LEI: = V/ Error 0N3 «r- Error )5? LENGTH [M] Trigonomelric Elevation Computation 0'03"” "3"” = 1: —LEc" Reduction ol Reciprocal zenith distance observations a n d In any triangle Correction {SECS} = _ [l — 0} Sin 20 or _ 206265 it — 0] Sin ID 1‘ - Sin 1" T B c a 20 = Moan Observed 20 c o M M 0 N T = Slope Distance A [3 Sin 1" = 0.00000485 0 Reciprocal Observations F o n M u LA 8 LAW ol smes —?_ : J- = J— n, — h1 = 1 Sin vzrzn2 — 20.; Stan SInB sinl: or Law at cunsmes n2 — Ir. = 3 Tan than, — 20,] a2 = b2 + c? - 20c Dos A T = Slope Distance 02 = a2 + c? — 2ac Dos B s = Geodetic Distance 0? = a? + b? - 2abcosc Law Of TANGENTS Nonreciprocal Observations 3..., = IAN‘bIA-Bl ha—h1=TSin[90°—ZD.+k] a + b Tn" by,“ + a] “2 — "1 = 8 Tan {90° - 2D. +k} . osre : a a b _ a = mi r40 — A: aLarolfilfl'rcr’sTmflflflirliii}: 33" h + a 13." 'hlB + M Approved [or public release; distribution is unlimired. HEADQUARTERS. DEPARTMENT OF THE ARMY GPO : 1994 O - 152-168 CONVERSION FflBTOHS lENGTH 1mm = 0.10m = 0.00101 1 in = 2.54 cm 10 mm = 1cm = 0.010 m 1001 = 0.3937 in 100 mm = 10 cm = 0.100 m 111: 30.48 em = 0.3048 m 1000 mm = 100 cm =1.000 rn 1m = 39.37 in = 3.20083 11 10 m = 0.010 km 1 mile =1009.3dd m = 1.6093 km 1 100 ITI = 0100 km km = 0.52137 mils 1000 m = 1000 km DEGREE CONVERSIDNS 1 mil DEC. Degree x 11.237777? 1Degree= "' Hadians 130 100 11' 1 Radian = Degrees 755505501005 5° = (9:500 + 32 105mm 1 Kg = 2.205 In COMMON FORMULAS C“ = 5/9[F° — 32°} 10] = 0.4530 Kg In any right triangle 8 c a R C 0 sum : Mil—5.5 00350001 = L HYPOTENUSE SINE casma = W SEBANT = ; HYPOTENUSE COSINE TANGENT = WEE. CUTANGENT : J— ADJACENT L50 TAN sm 0:1 csc=;:_°_ c an: a cnsn=£ SEC=-L=£ 0 bit: I: TANA=£ cm=_1 =1 b an: a I:=x,“0I3’-+IJ2 a=\II:3—|J? |J=xII:z—a'é lEVELING {"0" MOTOR} ”0" Factor = Near Rod Readings - Far Rod Readlngs Far intarvais - Near lnlarvals MAXIMUM MLOWABLE “C" HIGTOH SIF C SIF C SIF [2 1:100 0004 1:200 0.007 1:333 0.010 Correct Had Raading = "C" x Last FS Intervals + Last FS Mean Reading INVERSE compumnon DIST = \/ aN'é"'+"'.Eé'2' E'1 = 51 = 500,000 0550040 (5).: TAN :5 5;, = E2 = 500,000 = ,(3 if LIE+, NH 180° - b‘iI ah. AN- 180° + flit 06—. AN- 360“ — fiiI nE—. IAN-1- [t — T}: (—01:25; + 5;] {XVIII} 5.3255 x 10 T = I - (I‘TJ IF 1 t 1 1 1| 2 OVER “9 ...
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