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New plane and spherical trigonometry, surveying, and navigation (1903)

Wentworth, G. A. (George Albert), 1835-1906 · Boston : Ginn & Company · leaf 143

An illustration from New plane and spherical trigonometry, surveying, and navigation, 1903, leaf 143
e the top and bot-tom of the tower, and C the positionof observation. Then given a = 80,B = 75°, C = 30° ; required c.A = 180° - (B + C) = 75°. a sin C c = sin A 80 sin 30° sin 75° log 80 = 1.90309 log sin 30° = 9.69897 colog sin 75° = 0.01506 logc = 1.61712 c = 41.411. Height of tower, 41.411… … sin BABsin B AC = BB sin(B-B) AB sin B sin C = BB - sin B sin B 325 sin C sin (B - B)sin 42° 17/sin21°47/sin 98° 53 sin 20° 30 log 325 = 2.51188 log sin 42° 17 = 9.82788 log sin 21° 47 = 9.56949 colog sin 98° 53 = 0.00524 colog sin 20° 30= 0.45567 log AC = 2.37016 AC = 234.51. Height of tower,…

Trigonometry · Surveying · Navigation

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