Back to the lesson and practice

Works with a finger, a stylus or a mouse. Nothing is saved or sent anywhere.

Write your answers with a finger, mouse or stylus. Switch to Scroll to move around the page. A stylus always writes.

eurekami

Choose sine, cosine or tangent for a problem

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.C.8 · England: GCSE Foundation Geometry, GCSE Higher Geometry

Name

Date

Score/ 16

  1. Question 1

    A 11 m ladder leans against a wall at 66° to the ground. To find how high up the wall it reaches, which ratio do you use with the 66° angle?

    • A. sin
    • B. cos
    • C. tan
  2. Question 2

    In a right triangle you know angle θ and the hypotenuse. You want the adjacent side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  3. Question 3

    A 12 m ladder leans against a wall at 39° to the ground. To find how high up the wall it reaches, which ratio do you use with the 39° angle?

    • A. sin
    • B. cos
    • C. tan
  4. Question 4

    In a right triangle you know angle θ and the opposite side. You want the hypotenuse. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  5. Question 5

    A 9 m ladder leans against a wall at 24° to the ground. To find how high up the wall it reaches, which ratio do you use with the 24° angle?

    • A. sin
    • B. cos
    • C. tan
  6. Question 6

    In a right triangle you know angle θ and the adjacent side. You want the opposite side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  7. Question 7

    A 14 m ladder leans against a wall at 64° to the ground. To find how high up the wall it reaches, which ratio do you use with the 64° angle?

    • A. sin
    • B. cos
    • C. tan
  8. Question 8

    In a right triangle you know angle θ and the hypotenuse. You want the opposite side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  9. Question 9

    A 6 m ladder leans against a wall at 46° to the ground. To find how high up the wall it reaches, which ratio do you use with the 46° angle?

    • A. sin
    • B. cos
    • C. tan
  10. Question 10

    In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  11. Question 11

    A 10 m ladder leans against a wall at 33° to the ground. To find how high up the wall it reaches, which ratio do you use with the 33° angle?

    • A. sin
    • B. cos
    • C. tan
  12. Question 12

    In a right triangle you know angle θ and the opposite side. You want the hypotenuse. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  13. Question 13

    A 19 m ladder leans against a wall at 60° to the ground. To find how high up the wall it reaches, which ratio do you use with the 60° angle?

    • A. sin
    • B. cos
    • C. tan
  14. Question 14

    In a right triangle you know angle θ and the hypotenuse. You want the opposite side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  15. Question 15

    A 5 m ladder leans against a wall at 52° to the ground. To find how high up the wall it reaches, which ratio do you use with the 52° angle?

    • A. sin
    • B. cos
    • C. tan
  16. Question 16

    In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan

Write your answers right on the page. · Free from eurekami.com

All done? Check your answers
  1. sin
  2. cos
  3. sin
  4. sin
  5. sin
  6. tan
  7. sin
  8. sin
  9. sin
  10. cos
  11. sin
  12. sin
  13. sin
  14. sin
  15. sin
  16. cos