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1. |
A school flagpole casts a 16-foot shadow on the lawn. A teacher stood at the shadow's edge and measured the angle of elevation to the top of the pole at 42°. How tall is the pole? |
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A. |
5.6 ft |
B. |
17.8 ft |
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C. |
14.4 ft |
D. |
12 ft |
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Hint |
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2. |
Find the value of j rounded to the nearest tenth. |
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A. |
49.3 |
B. |
197.1 |
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C. |
663.4 |
D. |
13.2 |
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Hint |
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3. |
What is -240° expressed in radian measure? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Find the exact value of sin 405°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
- 1 |
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Hint |
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5. |
Determine the solution of XYZ. Round measures of sides to the nearest tenth. |
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A. |
Y = 58.1°, Z = 26.9°, z = 9.4 |
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B. |
Y = 26.9°, Z = 58.1°, z = 4.9 |
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C. |
Y = 26.9°, Z = 58.1°, z = 9.4 |
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D. |
There is no solution. |
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Hint |
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6. |
Determine whether the Law of Sines or the Law of Cosines should be used to solve this triangle. Then find the measure of C to the nearest tenth. |
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A. |
Law of Cosines, C = 59.6° |
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B. |
Law of Sines, C = 53.6° |
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C. |
Law of Sines, C = 57.3° |
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D. |
Law of Cosines, C = 66.9° |
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Hint |
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7. |
Find sin , cos , and tan . |
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A. |
 |
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B. |
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C. |
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D. |
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Hint |
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8. |
Determine the exact value of cos . |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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9. |
Write y = cos 60° in the form of an inverse function. |
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A. |
60° = cos y |
B. |
60° = sin y |
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C. |
60° = Arccos y |
D. |
y = Arccos 60° |
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Hint |
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10. |
What is the radian measurement of 5°? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
What is the reference angle of 240°? |
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A. |
120° |
B. |
–60° |
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C. |
60° |
D. |
–120° |
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Hint |
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12. |
Solve if A = 36°, B = 67°, and a = 8. |
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A. |
b = 12.53, C = 77°, c = 13.3 |
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B. |
b = 14.89, C = 77°, c = 17.11 |
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C. |
b = 12.53, C = 77°, c = 4.83 |
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D. |
b = 14.89, C = 77°, c = 16.8 |
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Hint |
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13. |
Suppose a triangle has three sides which measure 10, 13, and 17. What is the measure of the largest angle? |
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A. |
88.7° |
B. |
94.4° |
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C. |
85.6° |
D. |
91.3° |
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Hint |
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14. |
Suppose Alex wants to kick a ball over a 10-foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence? |
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A. |
59.0° |
B. |
53.1° |
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C. |
31.0° |
D. |
36.9° |
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Hint |
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