Honors Geometry Companion Book, Volume 2

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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