Sine, cosine and tangent of an acute angle

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

1. 1.

   Jun labels right triangle DFG on a ramp drawing. The right angle is at G, and ∠D is marked. Which side is opposite ∠D?

   • DG
   • FG
   • DF
2. 2.

   Kira labels right triangle SCH on a ladder drawing. The right angle is at H, and ∠S is marked. Which side is adjacent to ∠S?

   • SC
   • SH
   • CH
3. 3.

   Milo labels right triangle WDY on a paper drawing. The right angle is at Y, and ∠W is marked. Which side is adjacent to ∠W?

   • DY
   • WD
   • WY
4. 4.

   Noah draws right triangle DFG for a ramp. From ∠D, the sides are labeled opposite 3, adjacent 4 and hypotenuse 5. What is sin D, as a fraction?

   3/5
5. 5.

   Ren draws right triangle DFG for a kite string. From ∠D, the sides are labeled opposite 8, adjacent 15 and hypotenuse 17. What is tan D, as a fraction?

   8/15
6. 6.

   Tala draws right triangle DFG for a tent rope. From ∠D, the sides are labeled opposite 7, adjacent 24 and hypotenuse 25. What is sin D, as a fraction?

   7/25
7. 7.

   Zee draws right triangle DFG for a ramp. From ∠D, the sides are labeled opposite 20, adjacent 21 and hypotenuse 29. What is cos D, as a fraction?

   21/29
8. 8.

   Ari draws right triangle DFG for a tree's shadow. From ∠D, the sides are labeled opposite 40, adjacent 9 and hypotenuse 41. What is sin D, as a fraction?

   40/41
9. 9.

   Bo draws right triangle DFG for a ladder leaning on a wall. From ∠D, the sides are labeled opposite 12, adjacent 35 and hypotenuse 37. What is tan D, as a fraction?

   12/35
10. 10.

    Esme draws right triangle DFG for a kite string. From ∠D, the sides are labeled opposite 60, adjacent 11 and hypotenuse 61. What is cos D, as a fraction?

    11/61