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Lab #5. Parallax Measurements and Determining Distances

Height-to-Width Ratios (r/d) and angles (α) for Right Triangles

This table contains height-to-width ratio (r/d), for right triangles containing angles (α) ranging from zero to 80 degrees. Those of you with backgrounds in trigonometry may recognize that the ratio of the height to the width for such triangles is often called the tangent function.

(r/d) α

 0.0000    0.0 
 0.0017    0.1 
 0.0035    0.2 
 0.0052    0.3 
 0.0070    0.4 
 0.0087    0.5 
 0.0105    0.6 
 0.0122    0.7 
 0.0140    0.8 
 0.0157    0.9 
 0.0175    1.0 
 0.0192    1.1 
 0.0209    1.2 
 0.0227    1.3 
 0.0244    1.4 
 0.0262    1.5 
 0.0279    1.6 
 0.0297    1.7 
 0.0314    1.8 
 0.0332    1.9 
 0.0349    2.0 
 0.0524    3.0 
 0.0699    4.0 
 0.0875    5.0 
 0.1051    6.0 
 0.1228    7.0 
 0.1405    8.0 
 0.1584    9.0 
 0.1763   10.0 
 0.1944   11.0 
 0.2126   12.0 
 0.2309   13.0 
 0.2493   14.0 
 0.2679   15.0 
 0.2867   16.0 
 0.3057   17.0 
 0.3249   18.0 
 0.3443   19.0 
 0.3640   20.0 
 0.3839   21.0 
 0.4040   22.0 
 0.4245   23.0 
 0.4452   24.0 
 0.4663   25.0 
 0.4877   26.0 
 0.5095   27.0 
 0.5317   28.0 
 0.5543   29.0 
 0.5774   30.0 
 0.6009   31.0 
 0.6249   32.0 
 0.6494   33.0 
 0.6745   34.0 
 0.7002   35.0 
 0.7265   36.0 
 0.7536   37.0 
 0.7813   38.0 
 0.8098   39.0 
 0.8391   40.0 
 0.8693   41.0 
 0.9004   42.0 
 0.9325   43.0 
 0.9657   44.0 
 1.0000   45.0 
 1.0355   46.0 
 1.0724   47.0 
 1.1106   48.0 
 1.1504   49.0 
 1.1918   50.0 
 1.2349   51.0 
 1.2799   52.0 
 1.3270   53.0 
 1.3764   54.0 
 1.4281   55.0 
 1.4826   56.0 
 1.5399   57.0 
 1.6003   58.0 
 1.6643   59.0 
 1.7321   60.0 
 1.8040   61.0 
 1.8807   62.0 
 1.9626   63.0 
 2.0503   64.0 
 2.1445   65.0 
 2.2460   66.0 
 2.3559   67.0 
 2.4751   68.0 
 2.6051   69.0 
 2.7475   70.0 
 2.9042   71.0 
 3.0777   72.0 
 3.2709   73.0 
 3.4874   74.0 
 3.7321   75.0 
 4.0108   76.0 
 4.3315   77.0 
 4.7046   78.0 
 5.1446   79.0 
 5.6713   80.0