1. 100 200 300 400 500 Geometric Mean Proportions & Pythagorean Theorem
Special Right Triangles
Trig
Angles of Elevation & Depression
Law of Sines & Law of Cosines
100
200
300
400
500

2. Geometric Mean Proportions & Pythagorean Theorem - 100
Solve for x.

3. Answer 8
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4. Geometric Mean Proportions & Pythagorean Theorem - 200
Solve for x.

5. Answer 6
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6. Geometric Mean Proportions & Pythagorean Theorem - 300
State if the following sides can make an acute, obtuse, or right triangle: 6, 17, 10

7. Answer
Not a triangle.
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8. Geometric Mean Proportions & Pythagorean Theorem - 400
Solve for x, y, and z. Write answers as simplified radicals.

9. Answer
x = 7
y = 3 7
z = 4 7
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10. Geometric Mean Proportions & Pythagorean Theorem - 500
Solve for x.
6 3 4
x + 3 x

11. Answer 12
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12. Special Right Triangles - 100
Solve for x, y, and z.

13. Answer
X = 4 2 Y = 3 3 Z = 6
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14. Special Right Triangles – 200
Solve for x.

15. Answer
X = 8 2
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16. Special Right Triangles - 300
Solve for x and y.

17. Answer
X = 3 3 Y = 9
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18. Special Right Triangles – 400
What is the area of the figure below?

19. Answer
32 cm2
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20. Special Right Triangles - 500
Solve for x and y.

21. Answer
y = 4 3 X = 12
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22. Trig - 100
Using the triangle below to write the correct fraction for the corresponding trig ratios.

23. Answer
Sin A = 4 9 Cos A = 7 9 Tan A = 4 7
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24. Trig - 200
When do you use the inverse of a trig function?

25. When solving for the angle.
Answer
When solving for the angle.
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26. Trig - 300
Solve for x. Round to the nearest hundredth.

27. Answer
25.41
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28. Trig - 400
Solve the triangle below. Round your answers to the nearest tenth.

29. Answer
b = 4
m∠A = 36.9°
m∠B = 53.1°
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30. Trig - 500
Find the area of the triangle below. Round your answer to the nearest hundredth.

31. Answer
32.36
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32. Angles of Elevation & Depression - 100
Which angle is the angle of depression from the airplane to the island?

33. Answer ∠2
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34. Angles of Elevation & Depression - 200
A plane at an altitude of 7000 ft is flying in the direction of an island. If angle of depression is 21° from the plane to the island, what is the horizontal distance until the plane flies over the island? Round to the nearest hundredth.

35. Answer ft
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36. Angles of Elevation & Depression - 300
Mike Patterson looks out the attic window of his home, which is 25 ft above the ground. At an angle of elevation of 52° he sees a bird sitting at the very top of the large high rise apartment building down the street. How tall is the high rise apartment building, if the two buildings are 100 ft apart (round to the nearest foot)?

37. Answer
153 ft
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38. Angles of Elevation & Depression - 400
A firefighter on the ground sees the fire break through a window. The angle of elevation to the window sill is 62°. The angle of elevation to the top of the building is 70°. If the firefighter is 30 ft from the building, what is the distance from the roof to the fire on the window sill (to the nearest foot)?

39. Answer
26 ft
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40. Angles of Elevation & Depression - 500
From a lighthouse 150 ft above sea level, the angle of depression to a boat is 34°. A short time later the boat has moved closer to the shore and the angle of depression measures 38°. How far (to the nearest foot) has the boat moved in that time?

41. Answer
30 ft
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42. Law of Sines & Law of Cosines - 100
Which law would be used in the figure below?

43. Answer
Law of Cosines
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44. Law of Sines & Law of Cosines - 200
Solve for side c in the triangle below. Round to the nearest whole number.

45. Answer 29
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46. Law of Sines & Law of Cosines - 300
Solve for ∠A in the figure below. Round to the nearest degree.

47. Answer
104°
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48. Law of Sines & Law of Cosines - 400
Solve the triangle below. Round all answers to the nearest tenth.

49. Answer
a = 39.8 m∠B = 56.4° m∠C = 73.8°
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50. Law of Sines & Law of Cosines - 500
Solve for m∠C in ∆ABC given the following information: m∠A = 35°, a = 15 cm, c = 18 cm

51. Answer
2 answers: 43.5° and 136.5°
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