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p <br /> METRIC FORMULIE 9Zo <br /> G' <br /> 12_1 / �' f 9e c-: B B <br /> //.</L ..--=-'--•--' � 7£J �, Yrs; -� -b q� d a c a c a <br /> C <br /> 38 <br /> d / 6-' S > 4;' 3 ` Oblique Triangles <br /> /4 2 &'�` r s J tion of Right Triangles <br /> 72 Y <br /> o A« a b a' b' = a <br /> F cos @ ,tag ,cot sec coo" <br /> a�a n�A =a=cotB a = a2 ' S <br /> _ _ <br /> o 17 " ` a <br /> �- <br /> __ <br /> f c 1 <br /> y - b= a cotes'c= a <br /> ' 9 s 1 ? / l ' sin A. <br /> 2O =90 -A,a = btan A,c= cosi, <br /> / - -- <br /> 3 / » / 1/• 3 ° z 900-d,a= c sin A,b=a cos A, <br /> �" Ig S _� p�is'z '+ P n of -Oblique Triangles <br /> o <br /> 7 ,4s- <br /> /3 •� s r f j y �_ _. S-9 6.�f =:asin B C,= 180'-(A + B) a =asin O <br /> " 9 9 sin A <br /> B <br /> , s, b sin A'C= 180°-(A I- ),a B1 n A <br /> a sin C <br /> z - <br /> G J Y �. •L �` a sin A <br /> 7 ; <br /> �4 r 7y - e s - _(a-6) <br /> .d-♦-B�-180° C tan 1(d ,g) ten.+}(A+B) <br /> asin C <br /> p� sin <br /> n "' <br /> 8- _ 8-a <br /> _ �r &in JA <br /> z <br /> T--� • e. <br /> -- F j- 9 8—a)e ijj. 9r <br /> v o - sin;B- a e ,C=180°-(A+B) <br /> a+b4 ` <br /> y • s 8= ,area = 8(8-a <br /> 2 <br /> X1' .2 r basing - <br /> S ry _ area = <br /> Z �., �, 9 s -. 2 <br /> S ✓ .— _ area as stn B sin C <br /> �. A u r a' ° 9 sin A -- <br /> REDUCTION TO HORIZONTAL z =r= <br /> �)f s 3 3 6 6 _ <�. . p Horizontal distance=Slope distance multiplied by the <br /> g 3 ,� A - y z s 9 a 23 <br /> cosine <br /> ae vertical <br /> angle. We Tslo <br /> able, ale IXC. ce <br /> bid <br /> 7) 5 /e7 - i P J = Horizontal distance=319.4X.9958=31&o8 fL <br /> t -.-. -Slope.8866.: <br /> didist ttimesdis;(1-ccosine of rticeI angle)ance . Wit Hthb <br /> ✓ / s °y -Z -_ 7 J-J' y iesa�e t in <br /> Cosine 6°n10+a.986Y le-the follow <br /> z.13 <br /> is <br /> 4x.aol�I.31.319.4-1.31=31608 iL <br /> 7 J "R3 _- =met► the hone distance is aPProzimatel7:-tbe slope dist- <br /> 2 c f M s, 1. rise livid twice to slope distance. Thus:rise=14 ft,. <br /> 14 <br /> •2 X a1Qs <br /> swu.e.s. <br /> g <br /> • f <br /> V <br />