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- You need to find the Tan 10.5°
- Find the row with x = 10
- Find the column 5, the number inside the cell is .185339
See How To Read Numbers in Tables.
- The result is 0.185339
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 0 | 0 | 3z17453 | 3z34907 | 3z52360 | 3z69814 | 3z87269 | .010472 | .012218 | .013964 | .015709 |
| 1 | .017455 | .019201 | .020947 | .022693 | .024439 | .026186 | .027933 | .029679 | .031426 | .033173 |
| 2 | .034921 | .036668 | .038416 | .040164 | .041912 | .043661 | .045410 | .047159 | .048908 | .050658 |
| 3 | .052408 | .054158 | .055909 | .057660 | .059411 | .061163 | .062915 | .064667 | .066420 | .068173 |
| 4 | .069927 | .071681 | .073435 | .075190 | .076946 | .078702 | .080458 | .082215 | .083972 | .085730 |
| 5 | .087489 | .089248 | .091007 | .092767 | .094528 | .096289 | .098051 | .099813 | .101576 | .103340 |
| 6 | .105104 | .106869 | .108635 | .110401 | .112168 | .113936 | .115704 | .117473 | .119243 | .121013 |
| 7 | .122785 | .124557 | .126329 | .128103 | .129877 | .131652 | .133428 | .135205 | .136983 | .138761 |
| 8 | .140541 | .142321 | .144102 | .145884 | .147667 | .149451 | .151236 | .153022 | .154808 | .156596 |
| 9 | .158384 | .160174 | .161965 | .163756 | .165549 | .167343 | .169137 | .170933 | .172730 | .174528 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 10 | .176327 | .178127 | .179928 | .181731 | .183534 | .185339 | .187145 | .188952 | .190760 | .192570 |
| 11 | .194380 | .196192 | .198005 | .199820 | .201635 | .203452 | .205271 | .207090 | .208911 | .210733 |
| 12 | .212557 | .214381 | .216208 | .218035 | .219864 | .221695 | .223526 | .225360 | .227194 | .229031 |
| 13 | .230868 | .232707 | .234548 | .236390 | .238234 | .240079 | .241925 | .243774 | .245624 | .247475 |
| 14 | .249328 | .251183 | .253039 | .254897 | .256756 | .258618 | .260480 | .262345 | .264211 | .266079 |
| 15 | .267949 | .269821 | .271694 | .273569 | .275446 | .277325 | .279205 | .281087 | .282971 | .284857 |
| 16 | .286745 | .288635 | .290527 | .292420 | .294316 | .296213 | .298113 | .300014 | .301918 | .303823 |
| 17 | .305731 | .307640 | .309552 | .311465 | .313381 | .315299 | .317219 | .319141 | .321065 | .322991 |
| 18 | .324920 | .326850 | .328783 | .330718 | .332656 | .334595 | .336537 | .338481 | .340428 | .342377 |
| 19 | .344328 | .346281 | .348237 | .350195 | .352156 | .354119 | .356084 | .358052 | .360022 | .361995 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 20 | .363970 | .365948 | .367928 | .369911 | .371897 | .373885 | .375875 | .377869 | .379864 | .381863 |
| 21 | .383864 | .385868 | .387874 | .389884 | .391896 | .393910 | .395928 | .397948 | .399971 | .401997 |
| 22 | .404026 | .406058 | .408092 | .410130 | .412170 | .414214 | .416260 | .418309 | .420361 | .422417 |
| 23 | .424475 | .426536 | .428601 | .430668 | .432739 | .434812 | .436889 | .438969 | .441053 | .443139 |
| 24 | .445229 | .447322 | .449418 | .451517 | .453620 | .455726 | .457836 | .459949 | .462065 | .464185 |
| 25 | .466308 | .468434 | .470564 | .472698 | .474835 | .476976 | .479120 | .481267 | .483419 | .485574 |
| 26 | .487733 | .489895 | .492061 | .494231 | .496404 | .498582 | .500763 | .502948 | .505136 | .507329 |
| 27 | .509525 | .511726 | .513930 | .516138 | .518351 | .520567 | .522787 | .525012 | .527240 | .529473 |
| 28 | .531709 | .533950 | .536195 | .538445 | .540698 | .542956 | .545218 | .547484 | .549755 | .552030 |
| 29 | .554309 | .556593 | .558881 | .561174 | .563471 | .565773 | .568079 | .570390 | .572705 | .575026 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 30 | .577350 | .579680 | .582014 | .584353 | .586697 | .589045 | .591398 | .593757 | .596120 | .598488 |
| 31 | .600861 | .603239 | .605622 | .608010 | .610403 | .612801 | .615204 | .617613 | .620026 | .622445 |
| 32 | .624869 | .627299 | .629734 | .632174 | .634619 | .637070 | .639527 | .641989 | .644456 | .646929 |
| 33 | .649408 | .651892 | .654382 | .656877 | .659379 | .661886 | .664398 | .666917 | .669442 | .671972 |
| 34 | .674509 | .677051 | .679599 | .682154 | .684714 | .687281 | .689854 | .692433 | .695018 | .697610 |
| 35 | .700208 | .702812 | .705422 | .708039 | .710663 | .713293 | .715930 | .718573 | .721223 | .723879 |
| 36 | .726543 | .729213 | .731889 | .734573 | .737264 | .739961 | .742666 | .745377 | .748096 | .750821 |
| 37 | .753554 | .756294 | .759041 | .761796 | .764558 | .767327 | .770104 | .772888 | .775680 | .778479 |
| 38 | .781286 | .784100 | .786922 | .789752 | .792590 | .795436 | .798290 | .801151 | .804021 | .806898 |
| 39 | .809784 | .812678 | .815580 | .818491 | .821409 | .824336 | .827272 | .830216 | .833169 | .836130 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 40 | .839100 | .842078 | .845066 | .848062 | .851067 | .854081 | .857104 | .860136 | .863177 | .866227 |
| 41 | .869287 | .872356 | .875434 | .878521 | .881619 | .884725 | .887842 | .890967 | .894103 | .897249 |
| 42 | .900404 | .903569 | .906745 | .909930 | .913125 | .916331 | .919547 | .922773 | .926010 | .929257 |
| 43 | .932515 | .935783 | .939063 | .942352 | .945653 | .948965 | .952287 | .955621 | .958966 | .962322 |
| 44 | .965689 | .969067 | .972458 | .975859 | .979272 | .982697 | .986134 | .989582 | .993043 | .996515 |
| 45 | 1.00000 | 1.00350 | 1.00701 | 1.01053 | 1.01406 | 1.01761 | 1.02117 | 1.02474 | 1.02832 | 1.03192 |
| 46 | 1.03553 | 1.03915 | 1.04279 | 1.04644 | 1.05010 | 1.05378 | 1.05747 | 1.06117 | 1.06489 | 1.06862 |
| 47 | 1.07237 | 1.07613 | 1.07990 | 1.08369 | 1.08749 | 1.09131 | 1.09514 | 1.09899 | 1.10285 | 1.10672 |
| 48 | 1.11061 | 1.11452 | 1.11844 | 1.12238 | 1.12633 | 1.13029 | 1.13428 | 1.13828 | 1.14229 | 1.14632 |
| 49 | 1.15037 | 1.15443 | 1.15851 | 1.16261 | 1.16672 | 1.17085 | 1.17500 | 1.17916 | 1.18334 | 1.18754 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 50 | 1.19175 | 1.19599 | 1.20024 | 1.20451 | 1.20879 | 1.21310 | 1.21742 | 1.22176 | 1.22612 | 1.23050 |
| 51 | 1.23490 | 1.23931 | 1.24375 | 1.24820 | 1.25268 | 1.25717 | 1.26169 | 1.26622 | 1.27077 | 1.27535 |
| 52 | 1.27994 | 1.28456 | 1.28919 | 1.29385 | 1.29853 | 1.30323 | 1.30795 | 1.31269 | 1.31745 | 1.32224 |
| 53 | 1.32704 | 1.33187 | 1.33673 | 1.34160 | 1.34650 | 1.35142 | 1.35637 | 1.36134 | 1.36633 | 1.37134 |
| 54 | 1.37638 | 1.38145 | 1.38653 | 1.39165 | 1.39679 | 1.40195 | 1.40714 | 1.41235 | 1.41759 | 1.42286 |
| 55 | 1.42815 | 1.43347 | 1.43881 | 1.44418 | 1.44958 | 1.45501 | 1.46046 | 1.46595 | 1.47146 | 1.47699 |
| 56 | 1.48256 | 1.48816 | 1.49378 | 1.49944 | 1.50512 | 1.51084 | 1.51658 | 1.52235 | 1.52816 | 1.53400 |
| 57 | 1.53986 | 1.54576 | 1.55170 | 1.55766 | 1.56366 | 1.56969 | 1.57575 | 1.58184 | 1.58797 | 1.59414 |
| 58 | 1.60033 | 1.60657 | 1.61283 | 1.61914 | 1.62548 | 1.63185 | 1.63826 | 1.64471 | 1.65120 | 1.65772 |
| 59 | 1.66428 | 1.67088 | 1.67752 | 1.68419 | 1.69091 | 1.69766 | 1.70446 | 1.71129 | 1.71817 | 1.72509 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 60 | 1.73205 | 1.73905 | 1.74610 | 1.75319 | 1.76032 | 1.76749 | 1.77471 | 1.78198 | 1.78929 | 1.79665 |
| 61 | 1.80405 | 1.81150 | 1.81899 | 1.82654 | 1.83413 | 1.84177 | 1.84946 | 1.85720 | 1.86499 | 1.87283 |
| 62 | 1.88073 | 1.88867 | 1.89667 | 1.90472 | 1.91282 | 1.92098 | 1.92920 | 1.93746 | 1.94579 | 1.95417 |
| 63 | 1.96261 | 1.97111 | 1.97966 | 1.98828 | 1.99695 | 2.00569 | 2.01449 | 2.02335 | 2.03227 | 2.04125 |
| 64 | 2.05030 | 2.05942 | 2.06860 | 2.07785 | 2.08716 | 2.09654 | 2.10600 | 2.11552 | 2.12511 | 2.13477 |
| 65 | 2.14451 | 2.15432 | 2.16420 | 2.17416 | 2.18419 | 2.19430 | 2.20449 | 2.21475 | 2.22510 | 2.23553 |
| 66 | 2.24604 | 2.25663 | 2.26730 | 2.27806 | 2.28891 | 2.29984 | 2.31086 | 2.32197 | 2.33317 | 2.34447 |
| 67 | 2.35585 | 2.36733 | 2.37891 | 2.39058 | 2.40235 | 2.41421 | 2.42618 | 2.43825 | 2.45043 | 2.46270 |
| 68 | 2.47509 | 2.48758 | 2.50018 | 2.51289 | 2.52571 | 2.53865 | 2.55170 | 2.56487 | 2.57815 | 2.59156 |
| 69 | 2.60509 | 2.61874 | 2.63252 | 2.64642 | 2.66046 | 2.67462 | 2.68892 | 2.70335 | 2.71792 | 2.73263 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 70 | 2.74748 | 2.76247 | 2.77761 | 2.79289 | 2.80833 | 2.82391 | 2.83965 | 2.85555 | 2.87161 | 2.88783 |
| 71 | 2.90421 | 2.92076 | 2.93748 | 2.95437 | 2.97144 | 2.98868 | 3.00611 | 3.02372 | 3.04152 | 3.05950 |
| 72 | 3.07768 | 3.09606 | 3.11464 | 3.13341 | 3.15240 | 3.17159 | 3.19100 | 3.21063 | 3.23048 | 3.25055 |
| 73 | 3.27085 | 3.29139 | 3.31216 | 3.33317 | 3.35443 | 3.37594 | 3.39771 | 3.41973 | 3.44202 | 3.46458 |
| 74 | 3.48741 | 3.51053 | 3.53393 | 3.55761 | 3.58160 | 3.60588 | 3.63048 | 3.65538 | 3.68061 | 3.70616 |
| 75 | 3.73205 | 3.75828 | 3.78485 | 3.81177 | 3.83906 | 3.86671 | 3.89474 | 3.92316 | 3.95196 | 3.98117 |
| 76 | 4.01078 | 4.04081 | 4.07127 | 4.10216 | 4.13350 | 4.16530 | 4.19756 | 4.23030 | 4.26352 | 4.29724 |
| 77 | 4.33148 | 4.36623 | 4.40152 | 4.43735 | 4.47374 | 4.51071 | 4.54826 | 4.58641 | 4.62518 | 4.66458 |
| 78 | 4.70463 | 4.74534 | 4.78673 | 4.82882 | 4.87162 | 4.91516 | 4.95945 | 5.00451 | 5.05037 | 5.09704 |
| 79 | 5.14455 | 5.19293 | 5.24218 | 5.29235 | 5.34345 | 5.39552 | 5.44857 | 5.50264 | 5.55777 | 5.61397 |
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 80 | 5.67128 | 5.72974 | 5.78938 | 5.85024 | 5.91236 | 5.97576 | 6.04051 | 6.10664 | 6.17419 | 6.24321 |
| 81 | 6.31375 | 6.38587 | 6.45961 | 6.53503 | 6.61219 | 6.69116 | 6.77199 | 6.85475 | 6.93952 | 7.02637 |
| 82 | 7.11537 | 7.20661 | 7.30018 | 7.39616 | 7.49465 | 7.59575 | 7.69957 | 7.80622 | 7.91582 | 8.02848 |
| 83 | 8.14435 | 8.26355 | 8.38625 | 8.51259 | 8.64275 | 8.77689 | 8.91520 | 9.05789 | 9.20516 | 9.35724 |
| 84 | 9.51436 | 9.67680 | 9.84482 | 10.0187 | 10.1988 | 10.3854 | 10.5789 | 10.7797 | 10.9882 | 11.2048 |
| 85 | 11.4301 | 11.6645 | 11.9087 | 12.1632 | 12.4288 | 12.7062 | 12.9962 | 13.2996 | 13.6174 | 13.9507 |
| 86 | 14.3007 | 14.6685 | 15.0557 | 15.4638 | 15.8945 | 16.3499 | 16.8319 | 17.3432 | 17.8863 | 18.4645 |
| 87 | 19.0811 | 19.7403 | 20.4465 | 21.2049 | 22.0217 | 22.9038 | 23.8593 | 24.8978 | 26.0307 | 27.2715 |
| 88 | 28.6363 | 30.1446 | 31.8205 | 33.6935 | 35.8006 | 38.1885 | 40.9174 | 44.0661 | 47.7395 | 52.0807 |
| 89 | 57.2900 | 63.6567 | 71.6151 | 81.8470 | 95.4895 | 114.589 | 143.237 | 190.984 | 286.478 | 572.957 |
| 90 | ∞ | 572.957 | 286.478 | 190.984 | 143.237 | 114.589 | 95.4895 | 81.8470 | 71.6151 | 63.6567 |
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