Triangle Ratios: Learn and Practice with Interactive Quizzes

Question 1

What is the name for the ratio of the side opposite the angle to the side next to the angle in a right triangle?

Accepted Answer

Sine

Answer

Cosine

Answer

Tangent

Answer

Cotangent

Question 2

Which of the following is NOT a trigonometric ratio?

Accepted Answer

Diameter

Answer

Sine

Answer

Cosine

Answer

Tangent

Question 3

Which side of a right triangle is next to the angle of interest?

Accepted Answer

Adjacent

Answer

Opposite

Answer

Hypotenuse

Answer

Angle

Question 4

In a right triangle, what is the side across from the angle of interest called?

Accepted Answer

Opposite

Answer

Hypotenuse

Answer

Adjacent

Answer

Angle

Question 5

Which of these is NOT a trigonometric ratio?

Accepted Answer

Distance

Answer

Sine

Answer

Cosine

Answer

Tangent

Question 6

In a right triangle, if the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?

Accepted Answer

0.7

Answer

0.6

Answer

0.8

Answer

0.9

Question 7

In a special triangle where one angle is 90 degrees, the ratio of the length of the side across from the 90-degree angle to the length of the longest side is called what?

Accepted Answer

Sine

Answer

Cosine

Answer

Tangent

Answer

Cosecant

Question 8

Which of these is NOT a measurement you can take of a right triangle?

Accepted Answer

Diameter

Answer

Opposite

Answer

Adjacent

Question 9

Which trigonometric ratio is used to find the angle of elevation to an object?

Accepted Answer

Tangent

Answer

Sine

Answer

Cosine

Answer

Cotangent

Question 10

What is the value of tan 45°?

Accepted Answer

1

Answer

0

Answer

√2

Answer

2

Question 11

Which of the following represents a right triangle with a special angle measure relationship?

Accepted Answer

3:4:5

Answer

4:5:6

Answer

5:6:7

Answer

6:7:8

Question 12

Which of the following is NOT a trigonometric function?

Accepted Answer

Perimeter

Answer

Sine

Answer

Cosine

Answer

Tangent

Question 13

Which of the following is NOT a trigonometric ratio?

Accepted Answer

Radius

Answer

Sine

Answer

Cosine

Answer

Tangent

Question 14

In a right triangle, if the opposite side length is 8 units and the adjacent side length is 15 units, what is the tangent of the angle opposite the opposite side?

Accepted Answer

0.533

Answer

1.875

Answer

0.2

Answer

5

Question 15

Which of the following is the inverse of the sine ratio?

Accepted Answer

Arcsine

Answer

Cosine

Answer

Tangent

Answer

Arctangent

Question 16

In a right triangle, what ratio tells us the relationship between the opposite side and the hypotenuse?

Accepted Answer

sine

Answer

cosine

Answer

tangent

Question 17

Which of these is NOT a trigonometric ratio?

Accepted Answer

area

Answer

sine

Answer

cosine

Question 18

In a right triangle, which side is directly across from the right angle?

Accepted Answer

Opposite side

Answer

Adjacent side

Answer

Hypotenuse

Question 19

What is the name of the ratio that compares the length of the opposite side to the length of the hypotenuse in a right triangle?

Accepted Answer

Sine

Answer

Cosine

Answer

Tangent

Question 20

What is the tangent of a right triangle with an opposite side of 5 cm and an adjacent side of 12 cm?

Accepted Answer

0.42

Answer

2.4

Answer

12

Question 21

Which of the following is not a trigonometric ratio?

Accepted Answer

Median

Answer

Sine

Answer

Cosine

Question 22

In a right triangle with a hypotenuse of 10 cm and an opposite side of 6 cm, what is the value of the sine ratio?

Accepted Answer

0.6

Answer

1.66

Answer

0.3

Answer

3

Question 23

Which of the following is the formula to calculate the cosine ratio?

Accepted Answer

Adjacent side divided by Hypotenuse

Answer

Opposite side divided by Hypotenuse

Answer

Opposite side divided by Adjacent side

Answer

Hypotenuse divided by Adjacent side

Question 24

In a right triangle, the sum of the sine and cosine ratios is always:

Accepted Answer

1

Answer

0

Answer

2

Question 25

What is the trigonometric ratio that measures the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle?

Accepted Answer

Cosine

Answer

Sine

Answer

Tangent

Question 26

Which of these shows the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle?

Accepted Answer

Sine

Answer

Cosine

Answer

Tangent

Question 27

In a right triangle, which of these shows the ratio of the length of the adjacent side to the length of the hypotenuse?

Accepted Answer

Cosine

Answer

Sine

Answer

Tangent

Question 28

What is the tangent of an angle if the opposite side is 4 units long and the adjacent side is 3 units long?

Accepted Answer

4/3

Answer

5/4

Answer

4/5

Answer

3/4

Question 29

Which of the following conditions must be met for the sine, cosine, and tangent ratios to be defined?

Accepted Answer

The triangle must be a right triangle.

Answer

The triangle must have equal sides.

Answer

The triangle must have an angle greater than 90 degrees.

Answer

The triangle must have an area greater than 10 square units.

Question 30

Which trigonometric ratio helps us find the length of the opposite side?

Accepted Answer

Sine

Answer

Cosine

Answer

Pythagorean theorem

Answer

Tangent

Question 31

A right triangle has a hypotenuse of 13 cm and an opposite side of 5 cm. What is the sine of the angle opposite the 5 cm side?

Accepted Answer

5/13

Answer

8/13

Answer

13/5

Answer

12/13

Question 32

Which trigonometric ratio is used to find the length of the adjacent side?

Accepted Answer

Cosine

Answer

Pythagorean theorem

Answer

Sine

Answer

Tangent

Question 33

A right triangle has a hypotenuse of 10 cm and an adjacent side of 6 cm. What is the cosine of the angle opposite the 6 cm side?

Accepted Answer

6/10

Answer

10/6

Answer

8/10

Answer

4/10

Question 34

What is the definition of the tangent ratio?

Accepted Answer

Opposite side divided by Adjacent side

Answer

Opposite side divided by Hypotenuse

Answer

Hypotenuse divided by Adjacent side

Answer

Adjacent side divided by Hypotenuse

Question 35

A right triangle has opposite and adjacent sides of 4 cm and 3 cm, respectively. What is the tangent of the angle opposite the 4 cm side?

Accepted Answer

4/3

Answer

5/4

Answer

3/4

Question 36

In a right triangle, the ratio of the side opposite an angle to the longest side (the hypotenuse) is called the...

Accepted Answer

Sine

Answer

Tangent

Answer

Cotangent

Answer

Cosine

Question 37

If the opposite side of a right triangle is 5 units long and the hypotenuse is 10 units long, what is the sine of the angle?

Accepted Answer

0.5

Answer

1

Answer

0.25

Answer

2

Question 38

Which ratio helps us find the length of the side next to an angle in a right triangle (the adjacent side)?

Accepted Answer

Cosine = adjacent / hypotenuse

Answer

Cotangent = hypotenuse / opposite

Answer

Sine = opposite / hypotenuse

Answer

Tangent = opposite / adjacent

Question 39

In a right triangle, the opposite side is 5 units long, and the adjacent side is 12 units long. What is the measure of the angle opposite the 5-unit side?

Accepted Answer

22.62° (approximately)

Answer

60°

Answer

90°

Answer

45°

Question 40

Which of these is NOT a trigonometric ratio we usually use?

Accepted Answer

Secant

Answer

Cosine

Answer

Sine

Answer

Tangent

Question 41

If an angle in a right triangle measures 30 degrees, what is the sine of that angle?

Accepted Answer

0.5

Answer

0.87

Answer

1

Answer

0.71