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Useful Tables

Reference and conversions.


Multipliers for a Given Angle

For D = S * 1/sin(α) in 0.1° increments between 0.1 and 10°

D = S * (1/sin(α)) for a given angle α (which is arctan(s/d)); we get D = S * (1/sin(α)).

Note that:

  • α in degrees
  • arctan(α) (α in degrees; returns radians)
  • 1/sin(α) (α in radians)
  • 1/sin(arctan(α)) (α in degrees)

Use: For a measured angle α, multiply the known size of the object by the value in 1/sin(α) to determine the distance.

αarctan(α)1/sin(α)
0.10.002572.958
0.20.003286.479
0.30.005190.987
0.40.007143.241
0.50.009114.593
0.60.01095.495
0.70.01281.853
0.80.01471.622
0.90.01663.665
1.00.01757.299
1.10.01952.090
1.20.02147.750
1.30.02344.077
1.40.02440.930
1.50.02638.202
1.60.02835.815
1.70.03033.708
1.80.03131.836
1.90.03330.161
2.00.03528.654
2.10.03727.290
2.20.03826.050
2.30.04024.918
2.40.04223.880
2.50.04422.926
2.60.04522.044
2.70.04721.229
2.80.04920.471
2.90.05119.766
3.00.05219.107
3.10.05418.492
3.20.05617.914
3.30.05817.372
3.40.05916.862
3.50.06116.380
3.60.06315.926
3.70.06515.496
3.80.06615.089
3.90.06814.703
4.00.07014.336
4.10.07213.987
4.20.07313.654
4.30.07513.337
4.40.07713.035
4.50.07912.745
4.60.08012.469
4.70.08212.204
4.80.08411.951
4.90.08611.707
5.00.08711.474
5.10.08911.249
5.20.09111.034
5.30.09310.826
5.40.09410.626
5.50.09610.433
5.60.09810.248
5.70.09910.068
5.80.1019.895
5.90.1039.728
6.00.1059.567
6.10.1069.411
6.20.1089.259
6.30.1109.113
6.40.1128.971
6.50.1138.834
6.60.1158.700
6.70.1178.571
6.80.1198.446
6.90.1208.324
7.00.1228.206
7.10.1248.091
7.20.1267.979
7.30.1277.870
7.40.1297.764
7.50.1317.661
7.60.1337.561
7.70.1347.463
7.80.1367.368
7.90.1387.276
8.00.1407.185
8.10.1417.097
8.20.1437.011
8.30.1456.927
8.40.1476.845
8.50.1486.765
8.60.1506.687
8.70.1526.611
8.80.1546.537
8.90.1556.464
9.00.1576.392
9.10.1596.323
9.20.1616.255
9.30.1626.188
9.40.1646.123
9.50.1666.059
9.60.1685.996
9.70.1695.935
9.80.1715.875
9.90.1735.816
10.00.1755.759