Topografia Pothenot

CALCULOS DE LA PRÁCTICA
DATOS:
α = 63O39`14”
β = 16O29`19.57”
µ = 61O40`53,33”
AB = 86,231 Mts.
BC = 36,918 Mts.
X =?
Y =?
AP =?
BP =?
CP =?
Az=256o17`30,4”n=BCsenα+ABsen(β)BCsenα-ABsen(β)
n=36,918sen63o39`14”+86,231sen(16o29`19.57”)36,918sen63o39`14”-86,231sen(16o29`19.57”)
n=6o42`10.02"
m=360o-α+β+μ
m=360o-63o39`14”+16o29`19.57”+61o40`53,33”m= 218o10`33,1"
x+y=m
x+y=218o10`33,1"
x-y=2arctag(tag12mn)
x-y=2arctag(tag12218o10`33,1"6o42`10.02")
x-y=-46o44`55.8"+x+y=218o10`33,1"x-y=-46o44`55.8"2x=171°25`37,26"x=85°42`48,63"y=218o10`33,1"-xy=218o10`33,1-85°+42`48,63y=132°27`44,47"
α+x+Q1=180°
63o39`14”+85°42`48,63"+Q1=180°
Q1=30°37`57,37"
Q2+y+β=180°
Q2=180°-y-β
Q2=180°-132°27`44,47"-16o29`19.57”Q2=31°2`55,96"
VERIFICACION
μ=Q1+Q2
μ=30°37`57,37"+31°2`55,96"
μ=61°40`53,33"
CALCULOS DE LOS LADOS
APLICANDO LEY DE SENOS
ABsenα=APsenQ1
AP=ABsenQ1senαAP=86,231sen30°37`57,37"sen63o39`14”
AP=49,030 m.

ABsenα=BPsenx
BP=ABsenxsenα
BP=86,231sen85°+42`48,63"sen63o39`14”
BP=95,956 m.
BCsenβ=CPsenQ2
CP=BCsenQ2senβBP=36,918sen85°42`48,63"sen16o29`19,57”
BP=67,087 m.
Calculo de cordenadas
AN=4000E=3500 α=270°-AzAB → α=270°-256°17`30,4” → α=13°42`30"
cosα=x1AB senα=y1AB
x1=83,774 m y1=20,434 mBN=4000-20,434=3979,56 E=3500-83,774=3416,226
β=180°-d+c-α
β=180°-61°41`20,83"-13°42`30"
β=14°36`9,17"
cosβ=y236,953 y2=35,759
senβ=x236,953x2=9,316
CN=3979,56+35,759=4015,319E=3416,226+9,316=3425,542
θ=13°52`26"
cosθ=x348,897 x3=47,470
senθ=y348,897 y3=11,724DN=4015,319+11,724=4027,043E=3425,542+47,470=3473,012
VERIFICACION
φ=44°55`48,84"
cosφ=y438,209 y4=27,050
senφ=x438,209 x4=26,984
DN=4000+27,050=4027,05E=3500-26,984=34730,16