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Sine

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

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Sine

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  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

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