Solution: COGO Intersect and Transformations

Problem (1)

(a) Forward calculation from point 1 to point 2

Assume coordinates for point 1 and an azimuth for line 1-2: we'll use 1000.00'N, 2000.00'E and 200°00'00"

Results: N₂ = 480.951; E₂ = 1811.082

(b) Direction-direction intersection to calculate point LR coordinates

Partial comps and results

Az_1-LR = 200°00'00"+(112°31'50"-59°05'35") = 253°26'15"
Az_2-LR = 200°00'00"-180°00'00"-65°26'34" = -45°26'34"+360°00'00"=314°33'26"
d_1-LR = 573.754
N_LR= 836.445; E_LR= 1450.051

(c) Direction-direction intersection to calculate point FP coordinates

Partial comps and results

Az_1-FP = 200°00'00"-59°05'35" = 140°54'25"
Az_2-FP = 200°00'00"-180°00'00"+(137°00'42"-65°26'34") = 91°34'08"
d_1-FP = 690.811
N_FP= 463.846; E_FP= 2435.613

(d) Inverse calculation between points LR and FP

Results: d_LR-FP = 1053.642'