Law of Sines

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

1. 1.

   Bo draws triangle DFG and the height GH from G down to DF, making a right angle at H. DG = 10 cm and ∠D = 40°. How long is GH, to the nearest tenth?

   6.4
2. 2.

   Esme draws triangle DFG and the height GH from G down to DF, making a right angle at H. DG = 13 cm and ∠D = 53°. How long is GH, to the nearest tenth?

   10.4
3. 3.

   Kira draws triangle DFG and the height GH from G down to DF, making a right angle at H. DG = 16 cm and ∠D = 27°. How long is GH, to the nearest tenth?

   7.3
4. 4.

   In Luz's triangle DFG, ∠D = 48°, ∠F = 70° and DG = 14. FG is across from ∠D. Which equation gives FG?

   • FG ÷ sin 70° equals 14 ÷ sin 48°
   • FG ÷ sin 62° equals 14 ÷ sin 70°
   • FG ÷ sin 48° equals 14 ÷ sin 70°
   • FG ÷ 48 equals 14 ÷ 70
5. 5.

   In Noah's triangle DFG, ∠D = 62°, ∠G = 51° and DF = 20. FG is across from ∠D. Which equation gives FG?

   • FG ÷ sin 51° equals 20 ÷ sin 62°
   • FG ÷ sin 62° equals 20 ÷ sin 51°
   • FG ÷ sin 67° equals 20 ÷ sin 51°
   • FG ÷ 62 equals 20 ÷ 51
6. 6.

   In Pia's triangle DFG, ∠F = 44°, ∠D = 73° and FG = 16. DG is across from ∠F. Which equation gives DG?

   • DG ÷ sin 44° equals 16 ÷ sin 73°
   • DG ÷ sin 63° equals 16 ÷ sin 73°
   • DG ÷ 44 equals 16 ÷ 73
   • DG ÷ sin 73° equals 16 ÷ sin 44°
7. 7.

   Ren sets up FG ÷ sin 41° = 12 ÷ sin 68° for triangle DFG. What is FG, to the nearest tenth?

   8.5
8. 8.

   Tala sets up FG ÷ sin 57° = 25 ÷ sin 80° for triangle DFG. What is FG, to the nearest tenth?

   21.3
9. 9.

   Zee sets up FG ÷ sin 34° = 9 ÷ sin 104° for triangle DFG. What is FG, to the nearest tenth?

   5.2
10. 10.

    Ari sets up FG ÷ sin 72° = 18 ÷ sin 46° for triangle DFG. What is FG, to the nearest tenth?

    23.8