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

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Noah draws a ladder against a wall as right triangle QVU, right angle at U. ∠Q = 24° and QU = 12 ft. How long is QV, to the nearest tenth?

   13.1
2. 2.

   Pia draws a tree and its shadow as right triangle CSH, right angle at H. ∠C = 36° and HS = 10 m. How long is CH, to the nearest tenth?

   13.8
3. 3.

   Ren draws a kite string as right triangle WDY, right angle at Y. ∠W = 57° and DY = 6 m. How long is DW, to the nearest tenth?

   7.2
4. 4.

   Tala draws a wheelchair ramp as right triangle DFG, right angle at G. ∠F = 53° and DF = 14 ft. How long is DG, to the nearest tenth?

   11.2
5. 5.

   Zee draws a tree and its shadow as right triangle DFG, right angle at G. ∠F = 64° and FG = 7 m. How long is DG, to the nearest tenth?

   14.4
6. 6.

   Ari draws a ladder against a wall as right triangle DFG, right angle at G. ∠F = 39° and DF = 21 ft. How long is FG, to the nearest tenth?

   16.3
7. 7.

   Bo draws a kite string as right triangle DFG, right angle at G. ∠F = 20° and DF = 13 m. How long is DG, to the nearest tenth?

   4.4
8. 8.

   Esme draws a skate ramp as right triangle DFG, right angle at G. DG = 9 ft and DF = 19 ft. What is ∠F, to the nearest tenth of a degree?

   28.3
9. 9.

   Kira draws a tree and its shadow as right triangle DFG, right angle at G. DG = 15 m and FG = 8 m. What is ∠F, to the nearest tenth of a degree?

   61.9
10. 10.

    Luz draws a kite string as right triangle DFG, right angle at G. DG = 11 m and DF = 24 m. What is ∠F, to the nearest tenth of a degree?

    27.3