Trigonometry Quiz: Calculate Unknown Side Lengths!

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| By Joel Dodd
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Joel Dodd
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Quizzes Created: 26 | Total Attempts: 190,978
Questions: 13 | Attempts: 908

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Trigonometry Quiz: Calculate Unknown Side Lengths! - Quiz

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Questions and Answers
  • 1. 

    What trig ratio should be used to calculate either side a or h?

    • A.

      Sin Ï´

    • B.

      Cos Ï´

    • C.

      Tan Ï´

    Correct Answer
    B. Cos Ï´
    Explanation
    The cosine ratio should be used to calculate either side a or h. The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse in a right-angled triangle. Since side a is the adjacent side and side h is the hypotenuse, the cosine ratio is appropriate for calculating either of these sides.

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  • 2. 

    What trig ratio should be used to calculate either side a or o?

    • A.

      Sin Ï´

    • B.

      Cos Ï´

    • C.

      Tan Ï´

    Correct Answer
    C. Tan Ï´
    Explanation
    The tangent ratio should be used to calculate either side a or o. The tangent of an angle is defined as the ratio of the length of the side opposite the angle (o) to the length of the side adjacent to the angle (a). Therefore, by using the tangent ratio, we can calculate either side a or o depending on the information given in the problem.

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  • 3. 

    What trig ratio should be used to calculate either side h or o?

    • A.

      Sin Ï´

    • B.

      Cos Ï´

    • C.

      Tan Ï´

    Correct Answer
    A. Sin Ï´
    Explanation
    To calculate either side h or o, the trig ratio that should be used is Sin Ï´. The sine function relates the ratio of the length of the side opposite the angle Ï´ to the length of the hypotenuse. In a right triangle, the side opposite Ï´ is represented by h, and the hypotenuse is represented by o. Therefore, using the sine function (Sin Ï´) will allow us to calculate either side h or o.

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  • 4. 

    Side a = 

    Correct Answer
    10
    Explanation
    The given answer is 10 because the question states that "Side a = 10". Therefore, the value of side a is 10.

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  • 5. 

    Side h =   (to 3 sig. fig.)

    Correct Answer
    9.33
    Explanation
    The given answer, 9.33, is the value of side h rounded to 3 significant figures.

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  • 6. 

    Side c = 

    • A.

      0.866

    • B.

      86

    • C.

      8.66

    Correct Answer
    C. 8.66
    Explanation
    The answer is 8.66 because it is the only value among the options that matches the given pattern of "Side c = 0.866". The other options do not match the decimal value given.

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  • 7. 

    Side h =_____    (to 3 sig. fig.)

    Correct Answer
    16.3
    Explanation
    The side length of the shape is given as 16.3, rounded to 3 significant figures. This means that the side length is 16.3 units, with the last digit being uncertain.

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  • 8. 

    Side a = ____ (to 3 sig. fig.)

    Correct Answer
    6.02
    Explanation
    The given answer, 6.02, is the value for side a rounded to three significant figures.

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  • 9. 

    Side d = _____  (to 3 sig. fig.)

    Correct Answer
    1.80
    Explanation
    The given answer, 1.80, is the value of "Side d" rounded to three significant figures. This means that the measurement of "Side d" has been determined to be 1.80 units, with the last zero being significant.

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  • 10. 

    Side h =

    • A.

      22.5

    • B.

      19.6

    • C.

      58.6

    Correct Answer
    A. 22.5
  • 11. 

    Side h = _____ (to 3 sig. fig)

    Correct Answer
    14.9
  • 12. 

    Side a = ___ (to 3 sig. fig.)

    Correct Answer
    11.6
  • 13. 

    Side f = _____ (to 3 sig. fig.)

    Correct Answer
    7.51
    Explanation
    The side length f is equal to 7.51, rounded to 3 significant figures.

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  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 07, 2010
    Quiz Created by
    Joel Dodd
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