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Trigonometry Problem Solving: Angles and Lengths | Practice Questions and Answers

Solve trigonometry problems involving angles and side lengths using sine, cosine, and tangent functions. Practice with given scenarios and calculate various measurements accurately.

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Trigonometry Problem Solving: Angles and Lengths | Practice Questions and Answers

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  1. Trigonometry

  2. sin, cos, or tan ? 32m 24 x

  3. sin, cos, or tan ? 35 x 13

  4. sin, cos, or tan ? 128 254 x

  5. sin, cos, or tan ? x 30 48

  6. sin, cos, or tan ? x 58 24

  7. sin, cos, or tan ? 321 125 x

  8. sin, cos, or tan ? x 25 321

  9. sin, cos, or tan ? 45 x 31

  10. Find the angles marked in each of the following

  11. Find the angles marked in each of the following

  12. Find the length of the side marked x

  13. Find the length of the side marked x

  14. Calculate the angle between the brace and the wall.

  15. Calculate the length of BC

  16. 2004 EXAM

  17. Find CD, the height of C above the ground.

  18. Find angle DAC, the angle the support wire, AC, makes with the level ground.

  19. Find EG, the height of the right-hand post.

  20. Find CF, the length of the high-wire.

  21. Find the length of the orienteering course.

  22. 2005

  23. Find how far the foot of the ladder will be from the wall, i.e. find SR.

  24. Calculate the length of bracing that will be required, i.e. find HC.

  25. Find the angle the roof makes with the horizontal, i.e. find angle EHD.

  26. FG = 2.8 m.FK = 3.03 m.Find the angle HKF.

  27. Calculate the length of the brace, DJ.

  28. Calculate the length of ladder if it reaches 3.1 m above level ground, ie find XA.

  29. 2006

  30. Calculate the distance, AB, sailed by Rewa’s boat

  31. Calculate the distance, ED, that Lee’s boat is blown off-course down the pool

  32. Calculate the distance HI

  33. Calculate the size of the angle JKL

  34. Calculate the distance between R and S.

  35. Calculate the length of the rope (TA).

  36. Bearings and vectors and we are done!

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