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1. |
Write north latitude 44° 10' 26" as a decimal rounded to the nearest thousandth. |
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A. |
44.177° |
B. |
44.173° |
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C. |
44.174° |
D. |
44.172° |
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Hint |
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2. |
Find the measure of the reference angle of -200°. |
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A. |
20° |
B. |
-200° |
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C. |
40° |
D. |
160° |
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Hint |
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3. |
Which of the following is the sine of  |
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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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4. |
Find cos P. |
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A. |
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B. |
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C. |
 |
D. |
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Hint |
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5. |
Use the unit circle to find sec (-180°). |
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A. |
1 |
B. |
-1 |
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C. |
0 |
D. |
undefined |
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Hint |
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6. |
Use the unit circle to find the value of cos 120°. |
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A. |
 |
B. |
 |
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C. |
-2 |
D. |
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Hint |
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7. |
If P = 27° and r = 11, find p. |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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8. |
The angle of elevation of a ladder leaning against a wall is 62°. The ladder is 40 feet long. How far is the base of the ladder from the wall? |
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A. |
about 18.78 ft |
B. |
about 75.23 ft |
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C. |
about 85.20 ft |
D. |
about 35.32 ft |
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Hint |
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9. |
Evaluate sin (arctan ). Assume that the angle is in Quadrant I. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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10. |
If f = 9 and d = 13, find the measure of . |
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A. |
about 46.2° |
B. |
about 55.3° |
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C. |
about 43.8° |
D. |
about 34.7° |
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Hint |
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11. |
Find the area of if d =14.2, D = 33.6°, and E = 15.2°. |
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A. |
about 46.5 square units |
B. |
about 35.9 square units |
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C. |
about 62.1 square units |
D. |
about 71.9 square units |
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Hint |
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12. |
Two observers 3 miles apart and facing each other find that the angles of elevation of a balloon in the same vertical plane with themselves are 28° and 31° respectively. Find the distance from the balloon to the observer located at the 28° angle. |
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A. |
about 1.6 miles |
B. |
about 3.5 miles |
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C. |
about 1.8 miles |
D. |
about 2.4 miles |
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Hint |
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13. |
Given and a = 5, b = 2 and A = 115°, find B. |
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A. |
22.5° |
B. |
21.3° |
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C. |
14.6° |
D. |
31.7° |
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Hint |
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14. |
Determine the number of possible solutions for , given A = 50°, a = 38, and c = 49. |
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A. |
one |
B. |
two |
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C. |
none |
D. |
three |
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Hint |
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15. |
In given a = 22, b = 39 and c = 19, find B. |
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A. |
about 54.0° |
B. |
about 144.0° |
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C. |
about 36.0° |
D. |
about 126.0° |
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Hint |
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16. |
Find the area of if a = 5, b = 8, and c = 10. |
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A. |
about 19.8 square units |
B. |
about 39.6 square units |
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C. |
about 15.2 square units |
D. |
about 7.6 square units |
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Hint |
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