8.1.3 Solving Right Triangles- Worksheet
Example 1: Use the given trigonometric ratio to determine which angle of the triangle is ∠ A . 1. = A sin 2. = A tan 1 3. cos A = 0.6
1 3
4 5
8 in.
2
6 in.
10 in.
1
4. cos A = 0.8
5. tan A = 0.75
6. sin A = 0.6
Example 2: Use your calculator to find each angle measure to the nearest degree. 7. tan − 1 (2.l) 8. − cos − cos 1 9. − cos − cos 1
1 ⎛ ⎝ ⎜
⎛ ⎝ ⎜
⎞ ⎠ ⎟
⎞ ⎠ ⎟
1 ⎛ ⎝ ⎜
⎛ ⎝ ⎜
⎞ ⎠ ⎟
⎞ ⎠ ⎟
1 3
5 6
5 6
10. sin − 1 (0.5)
11. sin − 1 (0.61)
12. tan − 1 (0.09)
Example 3: Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree. 13. R 14. B A
32°
3.1
7.4
P
Q
8.9
C
15.
X
11
8.6
Y
Z
71
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