Skills · Trigonometry · Right Triangles & Trigonometry

Right-triangle trigonometry

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. right triangle ABC, right angle at C: BC 18, AC 24, AB 30, find sin ACBA182430
    Find sin A.
  2. right triangle ABC, right angle at C: BC 8, AC 15, AB 17, find tan ACAB15817
    Find tan A.
  3. right triangle ABC, right angle at C: BC 6, AC 8, AB 10, find tan ACBA6810
    Find tan A.
  4. right triangle ABC, right angle at C: BC 36, AC 15, AB 39, find cos ACBA361539
    Find cos A.
  5. right triangle ABC, right angle at C: BC 24, AC 32, AB 40, find tan BCAB322440
    Find tan B.
  6. right triangle ABC, right angle at C: BC 30, AC 16, AB 34, find sin BCBA301634
    Find sin B.
  7. right triangle ABC, right angle at C: BC 7, AC 24, AB 25, find sin BCBA72425
    Find sin B.
  8. right triangle ABC, right angle at C: BC 12, AC 16, AB 20, find cos ACAB161220
    Find cos A.

Answer key

  1. 35
  2. 815
  3. 34
  4. 513
  5. 43
  6. 817
  7. 2425
  8. 45

Sample Sheet · Level 3

  1. sin B = 3537. Find tan B.
  2. tan A = 2021. Find sin A.
  3. right triangle ABC, right angle at C: BC 10, AC 22, find angle BCBA1022
    Find m∠B.
  4. right triangle ABC, right angle at C, angle A 24°: AC x, AB 15, find xCABx1524°
    Find x.
  5. right triangle ABC, right angle at C: BC 26, AB 40, find angle BCBA2640
    Find m∠B.
  6. right triangle ABC, right angle at C: AC 3, AB 8, find angle ACAB38
    Find m∠A.
  7. cos A = 941. Find tan A.
  8. right triangle ABC, right angle at C, angle A 61°: BC x, AB 17, find xCABx1761°
    Find x.

Answer key

  1. 3512
  2. 2029
  3. 66°
  4. 13.7 units
  5. 49°
  6. 68°
  7. 409
  8. 14.9 units

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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