GIVEN side r 284317m side s 150780 side t 201397m FIND An

GIVEN: side r = 284.317m; side s = 150.780; side t = 201.397m FIND: Angle R Angle S Angle T GIVEN: Angle FOX=29 degree 57\'35\"; side FOX-PJ6=167.28chains; side PJ6-CEY=102.47chains (ch)

Solution

by law of cosines

cosR=(s²+t²-r²)/(2st)

cosR=[150.78²+201.397²-284.317²]/(2*150.78*201.397)

cosR=-0.2888

R=106.8^o

R=106^o48\'

cosS=(r²+t²-s²)/(2rt)

cosS=[284.317²+201.397²-150.78²]/(2*284.317.78*201.397)

cosS=0.86152

S=30.51^o

S=30^o30\'36\"

cosT=(r²+s²-t²)/(2rs)

cosT=[284.317²+150.78²-201.397²]/(2*284.317.78*150.78)

cosT=0.7349

T=42.7^o

T=42^o 42\'