7. ...... ........ E by N, 86 miles............? 8. ........ between S and W, 200 miles,.......844 miles: .........? 12. ? ? 13. 12 feet......25 feet......30 inches lower......? .Latitude 51° 25'............75 feet ......... ? 16. .24 feet square.......36 yards.............. 33° 39′................ 16 feet..... ? 17. ? .28° 38'.......5 feet.......12° 12'.......496 feet. 18. ......101 feet......34° 45'......20 feet above the base ? 19. .8° 14' 20. 21. yards 24. .N 22° E, ..78° 22' .168 feet,......? ...N 28 W.... ......300......200... ........ ESE;........E by N,.......SW by S........500 ? ....108.........angular depression of the top...... ? 2° 49', and of the base 26° 52'.... 26. .........1 mile,......... :— ZABC 54° 16'. <BAC 73° 28'. .15° 31′.........300 feet.........21° 54′.... 29. ......6° 3' and 8° 30'......8 chains......0° 44'.. the more distant station being the lower. 30........8 chains.......3° 50′ and 7° 29'.......26 feet higher......12 feet higher......? 31. ......5 feet......1 chain......38° 10'............1 chain.................. 21° 42'. ? 32. .........The base EF of 100 feet.........86° 18′ and 70° 47'; and the angle PER, 15° 42'.......... ? 34. .......a base of 30 chains.......angle of elevation at E = 2° 53′. Horizontal angle at E = 86°. Horizontal angle at F = 91° 13′......... 36. ........ ..12.88 chains;.................... 41. .2° 12'. .91° 36′ and 84° 2'. ........36 miles per hour...........5 minutes after .24° 42'. What was the height of the cloud in feet? 43. ..... .657 yards. What was 71 ......45. the height of the cloud in feet? 44. 51. .2 miles............? .PQ = 2, QR = 3, PR = 4.........45° == 81 TABLES. TABLE I.-Logarithms of Numbers from 1 to 250, with their Indices. N. Log. N. Log. N. Log. N. Log. N. Log. 1 0.000000 51 1.707570 101 2.004321 151 2.178977 201 2.303196 20-301030 52 1.716003 102 2:008600 152 2.181844 202 2.305351 3 0.477121 53 1-724276 103 2:012837 153 2-184691 203 2.307496 4 0.602060 54 1.732394 104 2.017033 154 2 187521 204 2.309630 5 0.698970 55 1.740363 105 2.021189 155 2.190332 205 2.311754 6 0.778151 56 1-748188 106 2.025306 156 2.193125 206 2.313867| 7 0.845098 57 1-755875 107 2.029384 157 2.195900 207 2.315970 8 0.903090 58 1.763428 108 2.033424 158 2.198657 208 2.318063 9 0.954243 59 1-770852 109 2.037426 159 2.201397 209 2.320146 10 1.000000 60 1.778151 110 2-041393 160 2.204120 210 2.322219 11 1.041393 61 1.785330 111 2.045323 161 2.206826 211 2.324282 12 1.079181 62 1.792392 112 2-049218 162 2.209515 212 2.326336 13 1.113943 63 1.799341 113 2-053078 163 2.212188 213 2.328380 14 1.146128 64 1.806180 114 2-056905 164 2.214844 214 2:330414 15 1.176091 65 1.812913 115 2.060698 165 2.217484 215 2.332438 16 1-204120 66 1.819544 116 2-064458 166 2.220108 216 2.334454 17 1.230449 67 1.826075 117 2-068186 167 2.222716 217 2.336460 18 1.255273 68 1-832509 118 2.071882 168 2.225309|| 218 2.338456 19 1.278754 69 1-838849 119 2:075547 169 2.227887 219 2.340444 20 1.301030 70 1-845098|| 120 2.079181 170 2.230449 220 2.342423 211-322219 71 1-851258 121 2.082785 171 2.232996|| 221 2.344392 22 1.342423 72 1.857332 122 2.086360 172 2.235528 222 2.346353 231-361728 73 1.863323 123 2-089905 173 2.238046 223 2.348305 24 1.380211 74 1.869232 124 2.093422 174 2.240549 224 2.350248 25 1.397940 75 1.875061 125 2.096910 175 2.243038 225 2.352183 26 1.414973 76 1-880814 126 2-100371 176 2.245513 226 2.354108 27 1-431364 77 1-886491 127 2-103804 177 2.247973 227 2:356026 28 1-447158 78 1.892095 128 2.107210 178 2.250420|| 228 2.357935 29 1.462398 79 1.897627 129 2·110590 179 2.252853 229 2.359835 30 1-477121 80 1.903090 130 2-113943 180 2.255273 230 2.361728 31 1.491362 81 1.908485 131 2-117271 181 2.257679 231 2.363612 32 1.505150 82 1.913814 132 2-120574 182 2.260071 232 2.365488 33 1-518514 83 1.919078 133 2.123852 183 2.262451 233 2.367356 34 1.531479 84 1.924279 134 2-127105 184 2.264818 234 2.369216 35 1-544068 85 1.929419 135 2.130334 185 2.267172 235 2.371068 36 1.556303 86 1 934498 136 2-133539 186 2.269513 236 2.372912 37 1-568202 87 1.939519 137 2-136721 187 2.271842 237 2:374748 38 1.579784 88 1.944483 138 2.139879 188 2.274158 238 2.376577 39 1.591065 89 1.949390 139 2-143015 189 2.276462 239 2-378398 40 1.602060 90 1.954243 140 2.146128 190 2.278754 240 2.380211 41 1-612784 91 1.959041 141 2-149219 191 2.281033 241 2.382017 42 1.623249 92 1.963788 142 2.152288 192 2-283301 242 2.383815 43 1.633468 93 1.968483 143 2.155336 193 2.285557 243 2.385606 44 1643453 94 1.973128 144 2.158362 194 2.287802|| 244 2.387390 45 1.653213 95 1.977724 145 2.161368 195 2.290035 245 2.389166 46 1.662758 96 1.982271 146 2.164353 196 2.292256 246 2.390935 47 1.672098 97 1.986772 147 2.167317 197 2.294466|| 247 2.392697 48 1.681241 98 1.991226 148 2.170262 198 2 296665 248 2.394452 49 1.690196 99 1-995635 149 2.173186 199 2.298853 249 2.396199 50 1.698970 100 2.000000 150 2.176091 200 2.301030 250 2.397940 115 060698 1075 1452 1829 2206 116 4458 4832 5206 5580 5953 117 8186 8557 8928 9298 9668 118 071882 2250 2617 2985 3352 119 5547 5912 6276 6640 7004 120 9181 9543 9904 0266 0626 121 082785 3144 3503 3861 4219 122 6360 6716 7071 7426 7781 123 9905 0258 0611 0963 1315 124 093422 3772 4122 4471 4820 125 6910 7257 7604 7951 8298 126 100371 0715 1059 1403 1747 127 3804 4146 4487 4828 5169 128 7210 7549 7888 8227 8565 129 110590 0926 1263 1599 1934 130 3943 4277 4611 4944 5278 131 7271 7603 7934 8265 8595 132 120574 0903 1231 1560 1888 133 3852 4178 4504 4830 5156 134 7105 7429 7753 8076 8399 135 130334 0655 0977 1298 1619 136 3539 3858 4177 4496 4814 137 6721 7037 7354 7671 7987 138 9879 0194 0508 0822 I136 139 143015 3327 3639 3951 4263 140 141 6128 6438 6748 7058 7367 9219 9527 9835 0142 0449 142 152288 2594 2900 3205 3510 143 5336 5640 5943 6246 6549 144 8362 8664 8965 9266 9567 145 161368 1667 1967 2266 2564 146 4353 4650 4947 5244 5541 2166 2598 3029 3461 3891 6466 6894 7321 7748 8174 0724 I147 1570 1993 2415 4940 5360 5779 6197 6616 9116 9532 9947 0361 0775 3252 3664 4075 4486 4896 7350 7757 8164 8571 8978 1408 1812 2216 2619 3021 5430 5830 6230 6629 7028 9414 9811 0207 0602 0998 3362 3755 4148 4540 4932 7275 7664 8053 8442 8830 1153 1538 1924 2309 2694 4996 5378 5760 6142 6524 8805 9185 9563 9942 0320 2582 2958 3333 3709 4083 6326 6699 7071 7443 7815 0038 0407 0776 1145 1514 3718 4085 4451 4816 5182 7368 7731 8094 8457 8819 0987 1347 1707 2067 2426 4576 4934 5291 5647 6004 8136 8490 8845 9198 9552 1667 2018 2370 2721 3071 5169 5518 5866 6215 6562 8644 8990 9335 9681 0026 2091 2434 2777 3119 3462 5510 5851 6191 6531 6871 8903 9241 9579 9916 0253 2270 2605 2940 3275 3609 5611 5943 6276 6608 6940 8926 9256 9586 9915 0245 2216 2544 2871 3198 3525 5481 5806 6131 6456 6781 8722 9045 9368 9690 0012 1939 2260 2580 2900 3219 5133 5451 5769 6086 6403 8303 8618 8934 9249 9564 1450 1763 2076 2389 2702 4574 4885 5196 5507 5818 7676 7985 8294 8603 8911 0756 1063 1370 1676 1982 3815 4120 4424 4728 5032 6852 7154 7457 7759 8061 9868 0168 0469 0769 1068 2863 3161 3460 3758 4055 5838 6134 6430 6726 7022 8792 9086 9380 9674 9968 1726 2019 2311 2603 2895 4641 4932 5222 5512 5802 150 176091 6381 6670 6959 7248 7536 7825 8113 8401 8689 151 8977 9264 9552 9839 0126 152 181844 2129 2415 2700 2985 153 4691 4975 5259 5542 5825 154 7521 7803 8084 8366 8647 155 190332 0612 0892 1171 1451 156 157 158 3125 3403 3681 3959 4237 5900 6176 6453 6729 7005 8657 8932 9206 9481 9755 159 201397 1670 1943 2216 2488 161 160 4120 4391 4663 4934 5204 6826 7096 7365 7634 7904 162 9515 9783 0051 0319 0586 163 212188 2454 2720 2986 3252 164 4844 5109 5373 5638 5902 165 171 172 173 0413 0699 0986 1272 1558 3270 3555 3839 4123 4407 6108 6391 6674 6956 7239 8928 9209 9490 9771 0051 1730 2010 2289 2567 2846 4514 4792 5069 5346 | 5623 7281 7556 7832 8107 8382 0029 0303 0577 0850 I124 2761 3033 3305 3577 3848 5475 5746 6016 6286 6556 8173 8441 8710 8979 9247 0853 1121 1388 1654 1921 3518 3783 4049 4314 4579 6166 6430 6694 6957 7221 8798 9060 9323 9585 9846 1414 1675 1936 2196 2456 4015 4274 4533 4792 5051 6600 6858 7115 7372 7630 9170 9426 9682 9938 0193 1724 1979 2234 2488 2742 4264 4517 4770 5023 5276 6789 7041 7292 7544 7795 9299 9550 9800 0050 0300 1795 2044 2293 2541 2790 4277 4525 4772 5019 5266 6745 6991 7237 7482 7728 9198 9443 9687 9932 0176 1395 1638 1881 2125 2368 2610 3822 || 4064 4306 4548 4790 5031 175 3038 3286 3534 3782 4030 180 181 183 184 6237 6477 6718 6958 7198 7439 8877 9116 9355 9594 9833 1263 1501 1739 1976 2214 3636 3873 4109 4346 4582 5996 6232 6467 6702 6937 185 7172 7406 7641 7875 8110 186 9513 9746 9980 0213 0446 187 271842 2074 2306 2538 2770 188 4158 4389 4620 4850 5081 189 6462 6692 6921 7151 7380 190 8754 8982 9211 9439 9667 191 281033 1261 1488 1715 1942 192 3301 3527 3753 3979 4205 193 5557 5782 6007 6232 6456 194 7802 8026 8249 8473 8696 8344 8578 8812 9046 9279 0679 0912 1144 I377 1609 3001 3233 3464 3696 3927 5311 5542 5772 6002 6232 7609 7838 8067 8296 8525 9895 0123 0351 0578 0806 2169 2396 2622 2849 3075 4431 4656 4882 5107 5332 6681 6905 7130 7354 7578 8920 9143 9366 9589 9812 1147 1369 1591 1813 2034 3363 3584 3804 4025 4246 5567 5787 6007 6226 6446 7761 7979 8198 8416 8635 195 290035 0257 0480 0702 0925 196 2256 2478 2699 2920 3141 197 4466 4687 4907 5127 5347 198 6665 6884 7104 7323 7542 199 8853 9071 9289 9507 9725 9943 0161 0378 0595 0813 230 361728 1917 2105 2294 2482 231 3612 3800 3988 4176 4363 232 5488 5675 5862 6049 6236 233 7356 7542 7729 7915 8101 234 9216 9401 9587 9772 9958 235 371068 1253 1437 1622 1806 236 2912 3096 3280 3464 3647 237 4748 4932 5115 5298 5481 238 6577 6759 6942 7124 7306 239 8398 8580 8761 8943 9124 240 380211 0392 0573 0754 0934 241 2017 2197 2377 2557 2737 242 3815 3995 4174 4353 4533 243 5606 5785 5964 6142 6321 244 7390 7568 7746 7924 8101 245 9166 9343 9520 9698 9875 246 390935 1112 1288 1464 1641 247 2697 2873 3048 3224 3400 248 4452 4627 4802 4977 5152 249 6199 6374 6548 6722 6896 2114 2331 2547 2764 2980 4275 4491 4706 4921 5136 6425 6639 6854 7068 7282 8564 8778 8991 9204 9417 0693 0906 I118 1330 1542 2812 3023 3234 3445 3656 4920 5130 5340 5551 5760 7018 7227 7436 7646 7854 9106 9314 9522 9730 9938 1184 1391 1598 1805 2012 3252 3458 3665 3871 4077 5310 5516 5721 5926 6131 7359 7563 7767 7972 8176 9398 9601 9805 0008 0211 1427 1630 1832 2034 2236 3447 3649 3850 4051 4253 5458 5658 5859 6059 6260 7459 7659 7858 8058 8257 9451 9650 9849 0047 0246 1435 1632 1830 2028 | 2225 3409 3606 3802 3999 4196 5374 5570 5766 5962 6157 7330 7525 7720 7915 8110 9278 9472 9666 9860 0054 1216 1410 1603 1796 1989 3147 3339 3532 3724 3916 5068 5260 5452 5643 5834 6981 7172 7363 7554 7744 8886 9076 9266 9456 9646 0783 0972 I161 1350 1539 2671 2850 3048 3236 3424 4551 4739 4926 5113 5301 6423 6610 6796 6983 7169 8287 8473 8659 8845 9030 0143 0328 0513 0698 0883 1991 2175 2360 2544 2728 3831 4015 4198 43824565 5664 5846 6029 6212 6394 7488 7670 7852 8034 8216 9306 9487 9668 9849 0030 1115 1296 1476 1656 1837 2917 3097 3277 3456 3636 4712 4891 5070 5249 5428 6499 6677 6856 7034 7212 8279 8456 8634 8811 8989 0051 0228 0405 0582 0759 1817 1993 2169 2345 2521 3575 3751 3926 4101 4277 5326 5501 5676 5850 6025 7071 7245 7419 7592 7766 |