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

Wentworth, G. A. (George Albert), 1835-1906 · Boston : Ginn & Company · leaf 291

An illustration from New plane and spherical trigonometry, surveying, and navigation, 1903, leaf 291
find the local time (apparentsolar time) of sunrise and sunset,and also the azimuth of the sun atthese times (refraction being neg-lected). When and where does thesun rise on the longest day of theyear (at which time d = -f 23° 27)in Boston (I = 42° 21), and what isthe length of the da^ from… … PM=90°-d,ZQ = 90°,PQ = l Then in triangle PMQ, by [40],cos QPM = tan PQ cot PM,or cos t — — tan I tan d. Time of sunrise15 (12 ) oclock A.M. \ 15/ Time of sunset ■(A)- clock P.M. (ii) To find azimuth a = MQ.By [38], cos PM = cos PQ cos QJf,or sin d = cos I cos a. .-. cos a = sin d sec I. (iii) At…

Trigonometry · Surveying · Navigation

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