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• <br /> �Jl)� t�' *.�"'IPC^t"Y4Y•y'l'` izl:d r � - '4. ,�.. <br /> B <br /> a r <br /> ° j� vf� T <br /> ) ht C 9 9 <br /> riangla 06liyue Triangles SL� <br /> 1 7 <br /> f s 33 Solution of light Tiff ogles I <br /> a b . a b a a <br /> fr Irl . <br /> c For Angle A. ein =o,cos= s ,tan= b.cot a,sec= b. cosec— — Gz <br /> 47. Given Renuired a a !r- <br /> �_� � 7 y 3 / <br /> 2-0 a, b Af,,c taa A= b= cot B,c = a2 ' = a 1 + as <br /> A,20, b sin A=o =cos B,b=�/ a� a (c—a =a'l1_T <br /> Y o <br /> A,a B, b, a B=90°—A,b =a cotA,c= sin A. <br /> G !117 <br /> S-74-2 <br /> A,b .19` a, o B 90 —A d <br /> / , ° = btanA c= '_0'A. z - <br /> �,; �, �'��_ <br /> 3 I �, a B, 41. b B W.—A,,a=e eia A,b=e cos A, 3 <br /> Solutioo-of Oblique Triangles <br /> L imn ed a sin B <br /> C b= C = 180°--(A+B), a =asin C Sg <br /> 577. `y o� sins sin A <br /> 0 G ; i 2 . A, � b Bj a, C sin B= s�A,C= 180°—(A f B) c _ a sin C/.. <br /> g a f 3 q b' C A'B'c A l B=180°—C,tan a(A—B)=(a—b)tan (1t:♦B) y <br /> S ZD9 ," ,~ a _ asin C a+ b�� <br /> �( <br /> sin A s <br /> `---� S y `f 9 a+b-Fa <br /> 9 q. b, a dr B> c s= 2 <br /> � s—aNs—c ° <br /> ao <br /> �„!� _s 5 i 3� _ a b a c-180 —(A�B) <br /> a= 2 ,area = a <br /> A, b, c A. area = b a sin A 3 6 �-y <br /> 7 <br /> 7 �G G. 2 <br /> �U 59J B sin <br /> �� A,Braia area — as <br /> 2 ein A , .- <br /> b q� 2`I` .D //, Goma' v REDUCTION TO HORIZONTAL <br /> �I V — v _ <br /> Horizontal distance—Slope disteaae;multipged by the <br /> G ee ae eeal8ngle Thus:s10 distanee=918 4 it1 <br /> L G Vert. an¢Iq 6 i81. Frog Table, fJG yosft bo Ya= f 3 <br /> y N opo 9869. Horizontal distanoe=91&4X. 8&a! <br /> V 5� Ale Horizontal dance also=slsDo distance minas•s pe xM1 <br /> G ;a U' �e distance times(1 cosine, f verticrl an¢i�. Wim the <br /> U y same figures as in the predin¢ We.the f <br /> exyn .:!. <br /> ro Horizontal tame in¢ <br /> result is obtaiaed.Cosine'6°1d 9868.i.•,lp6f <br /> 919.4X.0841=1:31.619.4-1.81=81&08 ft <br /> JE / When the rise is lmomM the'horizontai dietanca to approzimetely. <br /> 1 <br /> ,Lace less the square of the rise divided by t�Vibe the slope diatanee ihus:eiff l . <br /> :dope <br /> ental distasge�90rf g_$XX 14 tt. <br /> 1 <br /> IV <br /> 1 <br /> / r <br /> f b <br />