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1. |
If the angle -1500° is in standard position, state the quadrant
in which its terminal side lies. |
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A. |
I |
B. |
IV |
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C. |
II |
D. |
III |
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Hint |
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2. |
Find the measure of the reference angle of -200°. |
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A. |
160° |
B. |
-200° |
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C. |
40° |
D. |
20° |
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Hint |
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3. |
Using Snell's Law,  = n, and  = 40° and  = 35° 15',
find the index of refraction, n. (Use a calculator.) |
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A. |
about 0.9380 |
B. |
about 0.8979 |
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C. |
about 1.1137 |
D. |
about 1.0660 |
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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° = cos 60° |
B. |
sin 30° = tan 60° |
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C. |
sin 30° = sin 60° |
D. |
sin 30° = cot 60° |
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Hint |
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5. |
Use the unit circle to find sec (-180°). |
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A. |
0 |
B. |
1 |
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C. |
undefined |
D. |
-1 |
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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. |
The angle of elevation of a ladder leaning against a wall is 55°. The ladder is 30 feet long. How high up the wall does it reach? |
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A. |
about 17.21 ft |
B. |
about 24.57 ft |
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C. |
about 42.84 ft |
D. |
about 52.30 ft |
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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 35.32 ft |
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C. |
about 75.23 ft |
D. |
about 85.20 ft |
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Hint |
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9. |
If f = 9 and d = 13, find the measure of  . |
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A. |
about 34.7° |
B. |
about 43.8° |
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C. |
about 55.3° |
D. |
about 46.2° |
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Hint |
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10. |
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 11.5° |
B. |
about 11.3° |
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C. |
about 78.5° |
D. |
about 78.7° |
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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 35.9 square units |
B. |
about 71.9 square units |
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C. |
about 62.1 square units |
D. |
about 46.5 square units |
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Hint |
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12. |
In  if A = 54.3°, B = 63.8°, and b = 12.2, find a to the
nearest tenth. |
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A. |
about 12.3 units |
B. |
about 11.9 units |
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C. |
about 11.7 units |
D. |
about 11.0 units |
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Hint |
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13. |
Determine the number of possible solutions for , given
B = 100°, b = 7, and c = 9. |
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A. |
one |
B. |
two |
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C. |
three |
D. |
none |
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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. |
14.6° |
B. |
21.3° |
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C. |
31.7° |
D. |
22.5° |
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Hint |
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15. |
In given A = 100°, b = 7 and c = 6, find a. |
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A. |
about 8.4 |
B. |
about 6.3 |
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C. |
about 10.0 |
D. |
about 7.5 |
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Hint |
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16. |
In given a = 22, b = 39 and c = 19, find B. |
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A. |
about 36.0° |
B. |
about 54.0° |
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C. |
about 126.0° |
D. |
about 144.0° |
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Hint |
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