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

Wentworth, G. A. (George Albert), 1835-1906 · Boston : Ginn & Company · leaf 294

An illustration from New plane and spherical trigonometry, surveying, and navigation, 1903, leaf 294
M = 90° - h.PM = 90° - d.PZ = 90° - I Since the sun M bears due east,MZP is a right angle.By [38],cos PM = cos PZ cos MZ.cos(90°-d) = cos(90o-0cos(90°-/i)..-. sin d = sin I sin h.sin I = sin d esc h. 18. At a point O in a horizontalplane MN a staff OA is fixed sothat its angle of inclination A… … 286 SPHERICAL TRIGONOMETRY. Given the direction of OB duenorth, AOB = 51° 30 = Z, and planeMN horizontal; find BOC. 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…

Trigonometry · Surveying · Navigation

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