Laserfiche WebLink
TABLE II -Continued <br />TRIGONOMETRIC FORMULAE <br />(continued) <br />In any triangle: <br />Given <br />91' .3b00 <br />a, b, C; to find c, B, A. <br />Use Law Tangents. <br />y <br />of <br />.8833 <br />Given A, B, c; to find a, b, C. <br />8500 <br />Use Law of Sines. <br />.0.500 <br />Given a, b, c; to find A, B, C. <br />.2160 <br />Leta+�♦c-s,� (s-8) <br />(B_b=�) <br />.5333 <br />=r <br />8 <br />cos '/A = s(s - a') <br />64 <br />be <br />4 <br />5 <br />tan MA = r <br />14 <br />18 <br />.2333 <br />24 .40p3 <br />tan MB = r <br />.5887 <br />s - b <br />67 <br />.7333 <br />tan '/C = r <br />98833 <br />800 <br />8-c <br />Area of a triangle: <br />.1000 <br />Area =i ab Sin C <br />.2500 <br />.2687 <br />Area - 1711 (S - a) (s - b) (s - c) <br />PRISMOIDAL FORMULA <br />Vol. - h (B+b+4M) <br />45 <br />h = altitude; b B = bases; M = <br />midsection <br />TABLE III <br />MINUTES IN DECIMALS OFA DEGREE <br />1' <br />.0167 <br />11' <br />.1833 <br />91' .3b00 <br />81' <br />.5167 <br />41' <br />.8833 <br />51' <br />8500 <br />9 <br />.0.500 <br />13 <br />.2160 <br />5424 .3667 <br />99 <br />.5333 <br />4S. <br />.7000 <br />64 <br />.8667 <br />4 <br />5 <br />.0887 <br />.0833 <br />14 <br />18 <br />.2333 <br />24 .40p3 <br />94 <br />.5887 <br />43 <br />44 <br />67 <br />.7333 <br />64 1 <br />98833 <br />800 <br />8 <br />.1000 <br />.16 <br />.2500 <br />.2687 <br />S5 .4187 <br />S8 <br />95 <br />98 <br />6.105 <br />45 <br />20 <br />65 <br />. <br />7 <br />8 <br />.1187 <br />1T <br />.2833 <br />.4333 <br />27 .4500 <br />97. <br />.8000 <br />8187 <br />48 <br />.7867 <br />68 <br />.99333 <br />9 <br />.1333 <br />1b00 <br />18 <br />19 <br />.3000 <br />S8 .4667 <br />'98 <br />.6333 <br />47 <br />4g <br />.7833 <br />.8000 <br />57 <br />58 <br />1 <br />.9500 <br />10 <br />.1667 <br />20 <br />.3167 <br />3333 <br />89 .4833 <br />90 5000 <br />38 <br />40 <br />.6500 <br />49 <br />.8187 <br />89 <br />.9667 <br />.9838 <br />6667 <br />50 <br />.8333 <br />60 <br />1.0000 <br />1.746 <br />. <br />2.40 <br />1 <br />TABLE IV <br />.218 <br />.873 <br />0.30 <br />20 <br />888.16 <br />1.819 <br />7.268 <br />2.50 <br />INCHES <br />IN DECIMALS OF A <br />FOOT <br />1.018 <br />0.35 <br />30 <br />_0052 <br />1 .00 8 <br />I .0104 I .0156 <br />1 1 <br />I <br />I <br />.291 <br />1.154 <br />0.40 <br />40 <br />681.74 <br />1.892 <br />7.556 <br />.0208 .0280I <br />0313 <br />04517 <br />0321 I <br />OB25 <br />I 0729 <br />08331 <br />.1667 <br />I .2500 I .3333 <br />I .4167 I <br />5000 I7 <br />.5&331 <br />8 <br />8887 I <br />7500 I <br />1.454 <br />I <br />9 <br />637.28 <br />1.986 <br />7.846 <br />2.70 <br />50 <br />3125.36 <br />.400 <br />1.600 <br />8383 <br />.91,167 <br />TABLE.V.-RADII, ORDINATES AND DEFLECTIONS <br />Mid. <br />Tan. <br />Def. <br />Mid. <br />Tan. <br />Def. <br />Deg. <br />Radius <br />Ord. <br />Offset <br />for <br />Deg. <br />Radius <br />Ord. <br />Offset <br />for <br />1 Fooi <br />1 Foot <br />0` 10' <br />34377.5 <br />.038 <br />.145 <br />0.05' <br />7° <br />519.02 <br />1.528 <br />6.105 <br />2.10' <br />20 <br />17188.8 <br />.073 <br />_ 291 <br />0.10 <br />20' <br />781.84 <br />1.600 <br />6.395 <br />2.20 <br />30 <br />11459.2 <br />.109 <br />.438 <br />0.15 <br />30 <br />764.49 <br />1.637 <br />6.540 <br />2.25 <br />40 <br />8594:42 <br />.145 <br />.582 <br />0.20 <br />40 <br />747.89 <br />1.873 <br />6.685 <br />2.30 <br />50 <br />6875.55 <br />-..182 <br />.727 <br />0.25 <br />- <br />B <br />716.78 <br />1.746 <br />8.976 <br />2.40 <br />1 <br />5729.65 <br />.218 <br />.873 <br />0.30 <br />20 <br />888.16 <br />1.819 <br />7.268 <br />2.50 <br />10 <br />4911.15 <br />.265 <br />1.018 <br />0.35 <br />30 <br />674.69 <br />1.855 <br />7.411 <br />2.55 <br />20 <br />4297.28 <br />.291 <br />1.154 <br />0.40 <br />40 <br />681.74 <br />1.892 <br />7.556 <br />2.60 <br />30 <br />3819.83 <br />.327 <br />1.309 <br />0.45 <br />40 <br />3437.87 <br />.364 <br />1.454 <br />0.50 <br />9 <br />637.28 <br />1.986 <br />7.846 <br />2.70 <br />50 <br />3125.36 <br />.400 <br />1.600 <br />0.55 <br />20 <br />614.56 <br />2.037 <br />8.136 <br />2.80 <br />30 <br />603.60 <br />2.074 <br />8.281 <br />2.85 <br />S <br />2864.93 <br />.436 <br />1.745 <br />0.60 <br />40 <br />593.42 <br />2.110 <br />8.426 <br />2.90 <br />10 <br />2644.58 <br />.473 <br />1.891 <br />0.65 <br />i <br />l <br />20 <br />2456.70 <br />.509 <br />2.038 <br />0.70 <br />10 <br />573.69 <br />2.183 <br />8.716 <br />3.00 <br />30 <br />2292.01 <br />..545 <br />2.181 <br />0.75 <br />30 <br />546.44 <br />2.292 <br />9.150 <br />3.15 <br />40 <br />2148.79 <br />.582 <br />2.327 <br />0.80 <br />11 <br />521.67 <br />2.402 <br />9.585 <br />3.30 <br />50 <br />2022.41 <br />.818 <br />2.472 <br />0.85 <br />30 <br />499.06 <br />2.511 <br />10.02 <br />3.45 <br />12 <br />478.34 <br />2.620 <br />10.45 <br />3.60 <br />9 <br />1910.08. <br />.655 <br />2.618 <br />0.90 <br />30 <br />459.28 <br />2,730 <br />10.89 <br />3.75 <br />10 <br />1F09.67 <br />.691 <br />2.763 <br />0.95 <br />18 <br />441.68 <br />2.839 <br />11.32 <br />3.90 <br />20 <br />1719.12 <br />.727 <br />2.908 <br />1.00 <br />30 <br />425.40 <br />2.949 <br />11.75 <br />4.05 <br />30 <br />1637.28 <br />.764 <br />3.054 <br />1.05 <br />14 <br />410.28 <br />3.058 <br />12.18 <br />4.20 <br />40 <br />1562.88 <br />.800 <br />3.199 <br />1.10 <br />30 <br />3%.20 <br />3.168 <br />12.62 <br />4.35 <br />50 <br />1494.95 <br />.836 <br />3.345 <br />1.15 <br />15 <br />383.07 <br />3.277 <br />13.05 <br />4.50 <br />4 <br />1432.69 <br />.873 <br />3.490 <br />1.20 <br />30 <br />370.78 <br />3.387 <br />13.49 <br />4.65 <br />10 <br />1375.40 <br />.909 <br />3.635 <br />1.25 <br />19 <br />359.27 <br />3.496 <br />13.92 <br />4.80 <br />20' <br />1322.53 <br />.945 <br />3.718 <br />1.30 <br />30 <br />348.46 <br />3.608 <br />14.35 <br />4.95 <br />30 <br />1273.57 <br />.982 <br />3.926 <br />1.35 <br />17 <br />338.27 <br />3.716 <br />14.78 <br />5.10 <br />40 <br />1228.11 <br />1.018 <br />4.071 <br />1.40 <br />18 <br />319.62 <br />3.935 <br />15.64 <br />5.40 <br />50 <br />1185.78 <br />1.055 <br />4.217 <br />1.45 <br />19 <br />302.94 <br />4.155 <br />16.61 <br />5.70 <br />6 <br />1146.28 <br />1.091 <br />4.362 <br />1.50 <br />20 <br />287.94 <br />4.374 <br />17.37 <br />6.00 <br />10 <br />1109.33 <br />1.127 <br />4.507. <br />1.55 <br />21 <br />274.37 <br />4.594 <br />18.22 <br />6.30 <br />20 <br />1074.68 <br />1.164 <br />4.653 <br />1.60 <br />29 <br />262.04 <br />4.814 <br />19.08' <br />6.80 <br />30 <br />1042.14 <br />1.200 <br />4.798 <br />1.65 <br />SS <br />250.79 <br />5.035 <br />19.94 <br />6.90 <br />40 <br />1011.51 <br />1.237 <br />4.943 <br />1.70 <br />94 <br />240.49 <br />5.255 <br />20.79 <br />7.20 <br />50 <br />982.64 <br />1.273 <br />5.088 <br />1.75 <br />46 <br />231.01 <br />5.476 <br />21.64 <br />7.50 <br />6 <br />955.37 <br />1.309 <br />5.234 <br />1.80 <br />96 <br />222.27 <br />5.697 <br />22.50 <br />7.80 <br />10 <br />929.57 <br />1.348 <br />5.379 <br />1.85 <br />37 <br />214.18 <br />5.918 <br />23.35 <br />8.10 <br />20 <br />905.13 <br />1.382 <br />5.524 <br />1.90 <br />SB <br />206.88 <br />6.139 <br />24.19 <br />8.40 <br />30 <br />881.95 <br />1.418 <br />5.669 <br />1.95 <br />29 <br />199.70 <br />8.360 <br />25.04 <br />8.70 <br />40 <br />859.92 <br />1.455 <br />5.814 <br />2.00 <br />90 <br />193.18 <br />6.583 <br />25.88 <br />9.00 <br />Note. Chord Deflection =2 timea tangent deflection. <br />