The table you were introduced to earlier shows the tangent of various angles. The table can be interpreted as «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»§#160;«/mo»«mn»5«/mn»«mo»§#176;«/mo»«mo»§#160;«/mo»«mo»§#8773;«/mo»«mn»0«/mn»«mo».«/mo»«mn»09«/mn»«/math», «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»§#160;«/mo»«mn»10«/mn»«mo»§#176;«/mo»«mo»§#160;«/mo»«mo»§#8773;«/mo»«mn»0«/mn»«mo».«/mo»«mn»18«/mn»«/math», etc.


ratio

(approximate values, rounded to the nearest hundredth)

tan

(approximate values, rounded to the nearest hundredth)

5°
0.09
0.09
10°
0.18
0.18
15°
0.27
0.27
20°
0.36
0.36
25°
0.47
0.47
30°
0.58
0.58
35°
0.70
0.70
40°
0.84
0.84
45°
1
1
50°
1.19
1.19
55°
1.43
1.43
60°
1.73
1.73
65°
2.14
2.14
70°
2.75
2.75
75°
3.73
3.73
80°
5.67
5.67
85°
11.43
11.43


The following problems are similar to those you attempted earlier in the lesson, but now they use trigonometric notation.