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1. |
Write north latitude 44° 10' 26" as a decimal rounded to the
nearest thousandth. |
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A. |
44.173° |
B. |
44.172° |
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C. |
44.177° |
D. |
44.174° |
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Hint |
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2. |
Choose the angle measure represented by 4.7 rotations clockwise. |
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A. |
-846° |
B. |
846° |
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C. |
1692° |
D. |
-1692° |
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Hint |
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3. |
Find cos P. |
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 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Which is an example of a cofunction relationship? |
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A. |
sin 30° = cot 60° |
B. |
sin 30° = tan 60° |
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C. |
sin 30° = cos 60° |
D. |
sin 30° = sin 60° |
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Hint |
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5. |
Use the unit circle to find sec (-180°). |
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A. |
undefined |
B. |
-1 |
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C. |
1 |
D. |
0 |
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Hint |
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6. |
Find the value of  for an angle  in standard position if a
point with coordinates (-12, 5) lies on its terminal side. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
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A. |
about 23.6 feet |
B. |
about 51.8 feet |
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C. |
about 25.8 feet |
D. |
about 47.5 feet |
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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 75.23 ft |
B. |
about 18.78 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. |
A security light is being installed outside a loading dock. The light is mounted 25 feet above the ground. The light must be placed at an angle so that it illuminates a parking lot. If the end of the parking lot is 125 feet from the loading dock, what should be the angle of depression of the light? |
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A. |
about 78.5° |
B. |
about 11.3° |
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C. |
about 11.5° |
D. |
about 78.7° |
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Hint |
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10. |
If A = 39° and b = 7.2, find c. |
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 |
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A. |
about 8.9 units |
B. |
about 5.6 units |
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C. |
about 11.4 units |
D. |
about 9.3 units |
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Hint |
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11. |
In  if A = 54.3°, B = 63.8°, and b = 12.2, find a to the
nearest tenth. |
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A. |
about 11.9 units |
B. |
about 11.7 units |
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C. |
about 12.3 units |
D. |
about 11.0 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 3.5 miles |
B. |
about 2.4 miles |
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C. |
about 1.6 miles |
D. |
about 1.8 miles |
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Hint |
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13. |
Determine the number of possible solutions for , given
a = 7, b = 3, and A = 115°. |
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A. |
none |
B. |
one |
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C. |
three |
D. |
two |
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Hint |
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14. |
Given and a = 5, b = 2 and A = 115°, find B. |
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A. |
31.7° |
B. |
14.6° |
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C. |
22.5° |
D. |
21.3° |
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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 36.0° |
B. |
about 126.0° |
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C. |
about 144.0° |
D. |
about 54.0° |
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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 39.6 square units |
B. |
about 15.2 square units |
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C. |
about 7.6 square units |
D. |
about 19.8 square units |
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Hint |
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