Law of Sines

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Bo tries to build triangle DFG with ∠D = 30°, DG = 10 cm and FG = 7 cm, where FG is across from ∠D. How many different triangles fit?

   • 1
   • 0
   • 2
2. 2.

   Esme tries to build triangle DFG with ∠D = 40°, DG = 12 cm and FG = 9 cm, where FG is across from ∠D. How many different triangles fit?

   • 2
   • 1
   • 0
3. 3.

   Kira tries to build triangle DFG with ∠D = 35°, DG = 14 cm and FG = 7 cm, where FG is across from ∠D. How many different triangles fit?

   • 0
   • 1
   • 2
4. 4.

   Milo marks D and F 80 m apart on a riverbank. Tree G across the river makes ∠D = 63° and ∠F = 48°. How far is the tree from D, to the nearest tenth?

   63.7
5. 5.

   On Noah's trail map, camp D and lookout F are 5 km apart. Lake G makes ∠D = 38° and ∠F = 109°. How many km is the lake from F, to the nearest tenth?

   5.7
6. 6.

   Docks D and F are 450 m apart. Pia's boat G makes ∠D = 41° and ∠F = 57°. How far is the boat from dock F, to the nearest tenth?

   298.1
7. 7.

   Ren's triangle DFG has ∠D = 65°, FG = 18 cm and DG = 13 cm. FG is longer than DG, so one triangle fits. What is ∠G, to the nearest tenth of a degree?

   74.1
8. 8.

   Tala's triangle DFG has ∠D = 52°, FG = 14 cm and DG = 9 cm. FG is longer than DG, so one triangle fits. What is ∠G, to the nearest tenth of a degree?

   97.6
9. 9.

   Zee's triangle DFG has ∠D = 44°, FG = 21 cm and DG = 16 cm. FG is longer than DG, so one triangle fits. What is ∠G, to the nearest tenth of a degree?

   104
10. 10.

    Ari's triangle DFG has ∠D = 76°, FG = 24 cm and DG = 19 cm. FG is longer than DG, so one triangle fits. What is ∠G, to the nearest tenth of a degree?

    53.8