| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 9 |
| What topic | Right-angled trigonometry |
| Question types | Mixed |
| Number of questions | 10 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Welcome to your Year 9 Mathematics Quiz on Right-Angled Trigonometry! Please read each question carefully and select the correct answer where applicable. Good luck!
What is the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle called?
A. Cosine
B. Tangent
C. Sine
D. Secant
In a right triangle, if one angle measures 30 degrees, what is the length of the opposite side if the hypotenuse measures 10 cm?
Which of the following represents the Pythagorean theorem?
A. (a^2 + b^2 = c^2)
B. (a + b = c)
C. (a^2 - b^2 = c^2)
D. (c = \frac{a + b}{2})
If a right-angled triangle has one angle measuring 45 degrees and the adjacent side is 5 cm, what is the length of the opposite side?
Which trigonometric ratio would you use to find the length of the adjacent side?
A. Sine
B. Tangent
C. Cosine
D. Secant
In a right triangle, if the length of the opposite side is 7 cm and the adjacent side is 24 cm, what is the tangent of the angle opposite the 7 cm side?
A. ( \frac{7}{24} )
B. ( \frac{24}{7} )
C. ( \sqrt{7} )
D. ( 7 + 24 )
How do you find the length of the hypotenuse if you know the lengths of the other two sides?
If the hypotenuse of a right triangle is 10 cm and one leg measures 6 cm, what is the length of the other leg?
A. 8 cm
B. 4 cm
C. 7 cm
D. 3 cm
A ladder leans against a wall forming a right triangle with the ground. If the angle between the ground and the ladder is 60 degrees and the ladder is 5 m long, what is the height at which the ladder touches the wall?
If sin(θ) = 0.5, what is the value of θ in degrees within the range of 0° to 90°?
A. 30°
B. 45°
C. 60°
D. 90°
Thank you for completing the quiz! Please review your answers and make sure to submit your responses as instructed.