Honors Geometry Companion Book, Volume 2

8.2.2 Law of Sines and Law of Cosines - Worksheet

Example 1: Use a calculator to find each trigonometric ratio. Round to the nearest hundredth. 1. sin 100 ° 2. cos 167 ° 3. tan 92 °

4. tan 141 °

5. cos 133 °

6. sin 150 °

7. sin 147 °

8. tan 164 °

9. cos 156 °

Example 2: Find each measure. Round lengths to the nearest tenth and angle measures to the nearest degree. 10. RT 11. m ∠ B 12. m ∠ F

E

R

A

20

31

36˚

20

14

S

101˚

70˚

B

C

84˚

D

F

15

T

Example 3: Find each measure. Round lengths to the nearest tenth and angle measures to the nearest degree. 13. m ∠ Q 14. MN 15. AB

A

P

M

30

6

7

L

77˚

8

R

Q

131˚

10

25

B

C

11

N

Example 4: 16.  A carpenter makes a triangular frame by joining three pieces of wood that are 20 cm, 24 cm, and 30 cm long. What are the measures of the angles of the triangle? Round to the nearest degree.

88

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