Law of Sines

Answer Key - Grade 10 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Esme's triangle DFG has ∠F = 46°, ∠G = 83° and DF = 22 m. How long is DG, to the nearest tenth?

   15.9
2. 2.

   Jun's triangle DFG has ∠G = 57°, ∠D = 64° and FG = 11 m. How long is DF, to the nearest tenth?

   10.3
3. 3.

   Kira's triangle DFG has ∠D = 29°, ∠G = 112° and DF = 26 m. How long is FG, to the nearest tenth?

   13.6
4. 4.

   Luz's triangle DFG has DF = 12 m between ∠D = 50° and ∠F = 62°. How long is FG, to the nearest tenth?

   9.9
5. 5.

   Milo's triangle DFG has DF = 20 m between ∠D = 35° and ∠F = 75°. How long is FG, to the nearest tenth?

   12.2
6. 6.

   Noah's triangle DFG has DF = 9 m between ∠D = 72° and ∠F = 41°. How long is FG, to the nearest tenth?

   9.3
7. 7.

   Pia's triangle DFG has DF = 16 m between ∠D = 44° and ∠F = 58°. How long is FG, to the nearest tenth?

   11.4
8. 8.

   Tala's triangle DFG has ∠D = 55°, FG = 20 cm and DG = 13 cm. FG is longer than DG, so one triangle fits. What is ∠F, to the nearest tenth of a degree?

   32.2
9. 9.

   Zee's triangle DFG has ∠D = 48°, FG = 12 cm and DG = 9 cm. FG is longer than DG, so one triangle fits. What is ∠F, to the nearest tenth of a degree?

   33.9
10. 10.

    Ari's triangle DFG has ∠D = 81°, FG = 25 cm and DG = 17 cm. FG is longer than DG, so one triangle fits. What is ∠F, to the nearest tenth of a degree?

    42.2