Trigonometric Ratios and Solving Triangles MCQ Test 4

1. For an acute angle in a right-angled triangle, what is the relationship between the tangent and cotangent of that angle?

2. In a right-angled triangle, if one acute angle is 50 degrees, what is the measure of the other acute angle?

3. What is the value of cos(75 degrees) in a right-angled triangle?

4. In a right-angled triangle, if the hypotenuse is 15 units and one leg is 9 units, what is the length of the other leg?

5. In a right-angled triangle, if the length of one leg is 5 and the length of the hypotenuse is 13, what is the measure of the angle opposite the leg (in degrees)?

6. What is the cosine of a 60-degree angle in a right-angled triangle?

7. What is the sine of a 30-degree angle in a right-angled triangle?

8. If the tangent of an angle is 0.8, what is the corresponding acute angle (in degrees)?

9. In a right-angled triangle, if the hypotenuse is 18 units and one leg is 12 units, what is the length of the other leg?

10. If in a triangle ABC, angle C is 95 degrees and side c is 18 units, what is the length of side a using the Law of Sines?

11. If in a triangle ABC, angle A is 75 degrees and side c is 12 units, what is the length of side b using the Law of Sines?

12. If in a right-angled triangle, the length of one leg is 7 units and the length of the hypotenuse is 25 units, what is the measure of the other acute angle (in degrees)?

13. In a triangle ABC, if angle C is 90 degrees and side a is 10 units, what is the length of side b?

14. If in a triangle ABC, angle A is 80 degrees and side a is 15 units, what is the length of side b using the Law of Sines?

15. For a triangle ABC with angle A = 90 degrees, if side c is 17 units and side b is 8 units, what is the length of side a?

16. What is the value of cos(30 degrees) in a right-angled triangle?

17. What is the value of sin(60 degrees) in a right-angled triangle?

18. In a right-angled triangle, if the length of one leg is 3 units and the length of the other leg is 4 units, what is the length of the hypotenuse?

19. What is the value of cos(45 degrees) in a right-angled triangle?

20. If in a triangle ABC, angle B is 85 degrees and side b is 18 units, what is the length of side a using the Law of Sines?