New plane and spherical trigonometry, surveying, and navigation (1903)
Wentworth, G. A. (George Albert), 1835-1906 · Boston : Ginn & Company · leaf 295
OC. SPZ — hour angle of sun at 1 p.m.= 15°. SPZ — CAB,being vertical angles..•.(MjB=15°. ABC = 90°, since OB is the pro-jection of OA on plane MN Arc AB = 51° 30, being the meas-ure of plane angle A OB. Then in right spherical triangleABC, by [42], tan BC = tan BAC sin J.B. log tan BAC = 9.42805… … The wall must lie in the plane ofZM in order that it may cast noshadow. PZ = 90° - Z,PM = 90° - e,P = 90°;required MZP = a. By [42], , sin PZ = tan PM cot PZM.sin (90° -l)= tan (90° - e) cot a.cos I = cot e cot a..*. cot a = cos Z tan e.log cos 1 = 9.78445log tan e = 9.63726log cot a = 9.42171 a =…
Trigonometry · Surveying · Navigation
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