Trigonometry Quiz: Calculate Unknown Side Lengths!
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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.Rate this question:
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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.Rate this question:
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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.Rate this question:
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- 4.
Side a =
Correct Answer
10Explanation
The given answer is 10 because the question states that "Side a = 10". Therefore, the value of side a is 10.Rate this question:
- 5.
Side h = (to 3 sig. fig.)
Correct Answer
9.33Explanation
The given answer, 9.33, is the value of side h rounded to 3 significant figures.Rate this question:
- 6.
Side c =
- A.
0.866
- B.
86
- C.
8.66
Correct Answer
C. 8.66Explanation
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.Rate this question:
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- 7.
Side h =_____ (to 3 sig. fig.)
Correct Answer
16.3Explanation
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.Rate this question:
- 8.
Side a = ____ (to 3 sig. fig.)
Correct Answer
6.02Explanation
The given answer, 6.02, is the value for side a rounded to three significant figures.Rate this question:
- 9.
Side d = _____ (to 3 sig. fig.)
Correct Answer
1.80Explanation
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.Rate this question:
- 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
7.51Explanation
The side length f is equal to 7.51, rounded to 3 significant figures.Rate this question:
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Current Version
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Mar 22, 2023Quiz Edited by
ProProfs Editorial Team -
Dec 07, 2010Quiz Created by
Joel Dodd
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