New plane and spherical trigonometry, surveying, and navigation (1903)
Wentworth, G. A. (George Albert), 1835-1906 · Boston : Ginn & Company · leaf 132
e,B = horizontal angle subtended by length of house,Z> = vertical angle subtendedby height of house.Then a = 150 cot B. b = a tan B= 150 cot B tan B\But cos B = V\ ;hence sin B = Vl — I2 ~V5 n cos B .-. cot B = = 1. sin B 3 Also sin T) — V34 .-. cos B — V34 •. tan B:e b Height of house, 45 feet.… … Let A be the vertex of the pyra-mid, BCDE its base. O the centreof the base, and M the middle pointof the side BC. Required the angle.AMO. In the right triangle A OB,AB = 150, OB = ± BD = 100 V2..-. AO = VZ§2_ OB2= 50.In the right triangle A 03/,AO _ 50037 100OMA = 26° 347.Inclination of face of…
Trigonometry · Surveying · Navigation
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