Trigonometric Ratio of 30-60-90 triangle

Name:

What is the sine of a 30-degree angle in a 30-60-90 triangle?

• 1/5

• 1/3

• 1/4

• 1/2

What is the cosine of a 60-degree angle in a 30-60-90 triangle?

• 2/3

• 3/2

• 1/3

• 1/2

What is the height of a ladder leaning against a wall if the ladder forms a 30-degree angle with the ground in a right-angled triangle?

• 2√3

• 1/2

• 1

• √3/3

What is the speed of a car traveling at a 60-degree angle in a 30-60-90 triangle?

• 1/2

• √3 / 2

• 1

• 2√3

What is the cosine of the angle when a ladder is leaning against a wall at a 30-degree angle in a 30-60-90 triangle?

• 1 / 2

• √2 / 2

• √3 / 2

• 1 / √3

What is the speed of a car traveling at a 60-degree angle on a 30-60-90 triangle?

• 1

• sqrt(3)

• 2

• 4

If a right-angled triangle has a hypotenuse of 10 units, what is the length of the side opposite the 30-degree angle?

• 5 units

• 6 units

• 8 units

• 4 units

If a right-angled triangle has a hypotenuse of 12 units, what is the length of the side opposite the angle measuring 60 degrees?

• 4 units

• 10 units

• 8 units

• 6 units

If a garden hose forms a 30-60-90 triangle with the ground, and the length of the hose is 8 feet, what is the distance from the hose to the point where it touches the ground?

• 6 feet

• 4 feet

• 10 feet

• 5 feet