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t Z. AAs./i'#!f. 0,14 . . <br /> zzs s, //7 0 a`., v S C FE1R11�[Jt.t$. <br /> c3 <br /> ;Lp ,98 B B B <br /> --- _ <br /> 113 <br /> Z �aJ <br /> . O/af�r yr:► 4�r J�pc .�„ <br /> r Cit ad — a <br /> �f,D 7 te'li+• z f �, Oblige Triangles <br /> Wt ttl6n TdAt TrianivA&a <br /> / / b•f it ,! —.,cm— a r tans a, a1 <br /> .Via.�g..00C= � <br /> -/a7 a a <br /> -1-4-44 <br /> / 7 3 o tamed=b,=cot B,a = a'+ - a 17 a, <br /> 77 rre' <br /> yin do <br /> 9-'=ow B,b=%/ o+a (o--a)-a 1—e,— <br /> B-90't—A,b=a cot A,o= sin A. �1b <br /> 7 B=90°— a = btanA' <br /> 2 <br /> S f B-00°—A,a= a sin A,b=a cos A, 34 8 D <br /> 7 fl 6 / S' Solution of Oblique Triangle& <br /> 70 <br /> a sin B 0= 180°—(d+B) a=a sin C <br /> Vit; sin A ' sin A <br /> 'sin 0 <br /> 3 q6 / r "y sin B= b sa d.0- 180°—(A+B),a= sin A <br /> O � -70_ ° a—b tan (A+B) <br /> 2 S J L` br a A+B=180—C,tea�}(A—B)= a + b <br /> 6. _9 <br /> a sin C <br /> sin A <br /> C s=a+ A= <br /> L98 �� <br /> 9 4J <br /> - - _ sin+)B=V ad ,0180°--(A+B) <br /> &+ <br /> X6 .62 b+o <br /> (3 '/g 7• G 6 .` a, b, o "a= 2 , area = —a •-- s-•c <br /> /. <br /> 1 7 a s/ S A,b, o. area = b o sin A <br /> ` y 4 7. a. 7 2 as sin B sin O <br /> A'B'C'a .' area = 2sin A i <br /> A' REDUCTION TO HORIZONTAL <br /> G Horizontal distance-Slowdistance m t .Kb the <br /> -7 `f D D1 (o, .6 of the verti souls.Thus:do dist �18.4ft. <br /> '► y Qert an¢ie=E°1 lhwm Tabla,rade I �ss E°1d= <br /> .AM Horizontal distancea8l&4X.t 31�ta9ft <br /> StiO Horizontal distance also=Slope distance minus &lope a <br /> Z tJ <br /> distance tinggr E1-casino of vertical an¢IeJ With the <br /> '1 same as in Prneedi esamPle, ow- <br /> `� 7 / Horizontal distance toQ result is 8blaiae?Cosine E°19'-.OMI- 9011. <br /> 319.4X:0011=1.31.994-sal=a1&0a ft. <br /> / .S� When tlfp rise is know&6 the horizontal distawea 'aPProuimaAelr.-tire slope diet <br /> - <br /> of s'n <br /> O 6 7 anoe kas the eptksp of the rise divided by tp�dee t6 slope distance ns:rise=itft.. E <br /> Pe dista&ee-49t8 ft. Horizontal dlsance-SQz E--$IMd-8t e--arlre#ar2 48 ft. <br /> r <br /> A <br />