Sine

1. Sine Cosine Tangent Pythagorean Theorem Mixed Word Problems (Regents) 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

2. What is the ratio for the sine of an angle? 10 points Return to Question Board See Answer

3. A N S W E R: 10 points Return to Question Board

4. Find the value of x to the nearest hundredth: 20 points Return to Question Board See Answer

5. A N S W E R: 20 points Return to Question Board

6. Find the measurement of angle x 30 points Return to Question Board See Answer

7. A N S W E R: 30 points Return to Question Board

8. A ladder 10 feet long is leaning against a house making an angle of with the ground. Find to the nearest tenth of a foot how high up the house the ladder reaches? 40 points Return to Question Board See Answer

9. A N S W E R: 40 points 9.5 feet Return to Question Board

10. 50 points An airplane is flying at an altitude of 3000 ft. The angle of depression of the airport ground signal Measures . Find to the nearest foot the distance Between the airplane and the airport signal. Return to Question Board See Answer

11. A N S W E R: 50 points 6,608 feet Return to Question Board

12. What is the ratio for the cosine of an angle? 10 points Return to Question Board See Answer

13. A N S W E R: 10 points Return to Question Board

14. 20 points Find the value of x to the nearest whole number 30cm x Return to Question Board See Answer

15. A N S W E R: 20 points X=24 Return to Question Board

16. 30 points Find the value of x to the nearest tenth of a degree 10’ 8’ Return to Question Board See Answer

17. A N S W E R: 30 points Return to Question Board

18. 40 points A wire 3 meters in length, is attached from the top of a post to a stake in the ground. The wire makes a angle with the ground. To the nearest hundredth of a meter, find the distance from the wire on the ground to the post. Return to Question Board See Answer

19. A N S W E R: 40 points Return to Question Board

20. 50 points A child's slide is 9 meters long and is built over a horizontal distance of 6 meters along the ground. Find to the nearest degree the measure of the angle that the slide makes with the ground. Return to Question Board See Answer

21. A N S W E R: 50 points Return to Question Board

22. 10 points What is the ratio for the tangent of an angle? Return to Question Board See Answer

23. A N S W E R: 10 points Return to Question Board

24. 20 points Find the value of x: x Return to Question Board See Answer

25. A N S W E R: 20 points X=12 Return to Question Board

26. Find the measure of x to the nearest degree. 30 points 4 14 Return to Question Board See Answer

27. A N S W E R: 30 points Return to Question Board

28. At a point on the ground 50 meters from the foot of a tree, the measure of the angle of elevation of the top of the tree is . Find the height of the tree to the nearest meter. 40 points Return to Question Board See Answer

29. A N S W E R: 40 points 56 meters Return to Question Board

30. Find to the nearest degree the measure of the angle of elevation of the sun when a woman 5foot tall cast a 3 foot shadow 50 points Return to Question Board See Answer

31. A N S W E R: 50 points Return to Question Board

32. What is the Pythagorean theorem and when is it used? 10 points Return to Question Board See Answer

33. A N S W E R: 10 points The Pythagorean theorem is and it is used to find side lengths of a right triangle. Return to Question Board

34. x 6 6 Find x: 20 points Return to Question Board See Answer

35. A N S W E R: 20 points Return to Question Board

36. 30 points The lengths of the sides of a triangle are 8, 15, and 17. Is this a right triangle? Return to Question Board See Answer

37. A N S W E R: 30 points Yes Return to Question Board

38. If the length of the diagonal of a rectangle is 26 in and the length of its base is 24 in, find the length of the altitude of the rectangle. 40 points Return to Question Board See Answer

39. A N S W E R: 40 points X=10 Return to Question Board

40. The length of a rectangle is 7 feet more then its width. A diagonal of a rectangle measures 17 meters. Find the length and width of rectangle. 50 points Return to Question Board See Answer

41. A N S W E R: 50 points Width = 8, Length = 15 Return to Question Board

42. 10 points The accompanying diagram shows a kite that has been secured to a stake in the ground with a 20-foot string. The kite is located 12 feet from the ground, directly over point X. What is the distance, in feet, between the stake and point X? Return to Question Board See Answer

43. A N S W E R: 10 points 16 feet Return to Question Board

44. 20 points Find, to the nearest tenth of a foot, the height of the tree represented in the accompanying diagram. Return to Question Board See Answer

45. 20 points A N S W E R: X= 28.2 Return to Question Board

46. 30 points An airplane is climbing at an angle of 11° with the ground. Find, to the nearest foot, the distance the airplane has traveled when it has attained an altitude of 400 feet. Return to Question Board See Answer

47. 30 points A N S W E R: The plane has gone 2,096 ft. Return to Question Board

48. 40 points A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 72° with the level ground for a secure footing. Find, to the nearest tenth of a foot, how far the base of the ladder should be from the side of the building Return to Question Board See Answer

49. 40 points A N S W E R: 3.1 feet Return to Question Board

50. 50 points The accompanying diagram shows a flagpole that stands on level ground. Two cables r & s are attached to the pole at a point 16 feet Above the ground. The combined length of the two cables is 50 feet. If cable r is attached to the ground 12 feet from the base of the pole, what is the angle, x, to the nearest degree, that the cable s makes with the ground? Return to Question Board See Answer