Use sine, cosine or tangent to find a missing side or a missing angle

Answer Key - Grade 10 Math Worksheet

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

1. 1.

   Milo draws a ramp as right triangle DFG, right angle at G. ∠D = 27° and DF = 18 ft. How long is FG, to the nearest tenth?

   8.2
2. 2.

   Noah draws a ladder against a wall as right triangle QVU, right angle at U. ∠Q = 38° and QV = 25 ft. How long is QU, to the nearest tenth?

   19.7
3. 3.

   Pia draws a tree and its shadow as right triangle CSH, right angle at H. ∠C = 41° and CH = 14 m. How long is HS, to the nearest tenth?

   12.2
4. 4.

   Ren draws a kite string as right triangle WDY, right angle at Y. ∠W = 58° and DW = 22 m. How long is DY, to the nearest tenth?

   18.7
5. 5.

   Tala draws a tent rope as right triangle SFH, right angle at H. ∠S = 63° and FS = 16 ft. How long is HS, to the nearest tenth?

   7.3
6. 6.

   Zee draws a roof slope as right triangle VGW, right angle at W. ∠V = 23° and VW = 35 ft. How long is GW, to the nearest tenth?

   14.9
7. 7.

   Ari draws a ramp as right triangle DFG, right angle at G. FG = 7 ft and DF = 16 ft. What is ∠D, to the nearest tenth of a degree?

   25.9
8. 8.

   Esme draws a tree and its shadow as right triangle CSH, right angle at H. HS = 9 m and CH = 13 m. What is ∠C, to the nearest tenth of a degree?

   34.7
9. 9.

   Kira draws a tent rope as right triangle SFH, right angle at H. HS = 17 ft and FS = 20 ft. What is ∠S, to the nearest tenth of a degree?

   31.8
10. 10.

    Luz draws a roof slope as right triangle VGW, right angle at W. GW = 5 ft and VW = 12 ft. What is ∠V, to the nearest tenth of a degree?

    22.6