1. 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10SineCosineTangentPythagoreanTheorem Mixed Word Problems(Regents)

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

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

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

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

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

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

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? Return to Question Board 40 points See Answer

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

10. Return to Question Board 50 points See Answer 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.

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

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

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

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

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

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

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

18. 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 40 points See Answer

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

20. 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 50 points See Answer

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

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

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

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

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

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

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

28. Return to Question Board See Answer 40 points 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.

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

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 Return to Question Board See Answer 50 points

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

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

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

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

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

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

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

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. Return to Question Board See Answer 40 points

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

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. Return to Question Board See Answer 50 points

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

42. 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 10 points

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

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

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

46. 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 30 points See Answer

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

48. 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 40 points

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

50. Return to Question Board See Answer 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?

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