Trigonometry Quiz: Calculate Unknown Side Lengths!

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  • 1/13 Questions
    What trig ratio should be used to calculate either side h or o? - ProProfs

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

    • Sin ϴ
    • Cos ϴ
    • Tan ϴ
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About This Quiz

This Trigonometry Quiz assesses your ability to calculate unknown side lengths using trigonometric ratios. It covers the use of Sin, Cos, and Tan to find side lengths in right triangles, sharpening skills crucial for academic and professional success in fields requiring geometric analysis.

Trigonometry Quiz: Calculate Unknown Side Lengths! - Quiz

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  • 2. 
    What trig ratio should be used to calculate either side a or o? - ProProfs

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

    • Sin ϴ

    • Cos ϴ

    • Tan ϴ

    Correct Answer
    A. Tan ϴ
    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 a or h? - ProProfs

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

    • Sin ϴ

    • Cos ϴ

    • Tan ϴ

    Correct Answer
    A. Cos ϴ
    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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  • 4. 
    Side c =  - ProProfs

    Side c = 

    • 0.866

    • 86

    • 8.66

    Correct Answer
    A. 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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  • 5. 
    Side a = ____ (to 3 sig. fig.) - ProProfs

    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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  • 6. 
    Side a = ___ (to 3 sig. fig.) - ProProfs

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

    Correct Answer
    11.6
  • 7. 
    Side h = - ProProfs

    Side h =

    • 22.5

    • 19.6

    • 58.6

    Correct Answer
    A. 22.5
  • 8. 
    Side h = _____ (to 3 sig. fig) - ProProfs

    Side h = _____ (to 3 sig. fig)

    Correct Answer
    14.9
  • 9. 
    Side a =  - ProProfs

    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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  • 10. 
    Side h =_____    (to 3 sig. fig.) - ProProfs

    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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  • 11. 
    Side h =   (to 3 sig. fig.) - ProProfs

    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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  • 12. 
    Side f = _____ (to 3 sig. fig.) - ProProfs

    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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  • 13. 
    Side d = _____  (to 3 sig. fig.) - ProProfs

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