Trigonometry Quiz: Calculate Unknown Side Lengths!

1)

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

Sin ϴ

Cos ϴ

Tan ϴ

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

Explanation

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

2)

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

Sin ϴ

Cos ϴ

Tan ϴ

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.

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.

3)

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

Sin ϴ

Cos ϴ

Tan ϴ

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.

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.

4) Side c =

0.866

86

8.66

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.

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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6)

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

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

Explanation

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

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7)

Side h =

22.5

19.6

58.6

not-available-via-ai

Explanation

not-available-via-ai

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9)

Side a =

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

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.

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

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.

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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