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1. |
Choose the angle measure represented by 4.7 rotations clockwise. |
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A. |
-846° |
B. |
1692° |
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C. |
846° |
D. |
-1692° |
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Hint |
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2. |
Find the measure of the reference angle of -200°. |
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A. |
-200° |
B. |
160° |
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C. |
40° |
D. |
20° |
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Hint |
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3. |
Which of the following is the sine of  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
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 1.0660 |
B. |
about 0.9380 |
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C. |
about 1.1137 |
D. |
about 0.8979 |
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Hint |
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5. |
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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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 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. |
A regular pentagon is inscribed in a circle with diameter 20 centimeters. The apothem of a regular polygon is the measure of a line segment from the center of the polygon to the midpint of one of its sides. Find the apothem of the pentagon. |
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A. |
about 8.09 cm |
B. |
about 5.30 cm |
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C. |
about 11.79 cm |
D. |
about 18.87 cm |
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Hint |
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9. |
Solve the equation cos x = . |
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A. |
x equals 30°, 330° or any angle coterminal with these angles. |
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B. |
x equals 120°, 240° or any angle coterminal with these angles. |
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C. |
x equals 150°, 210° or any angle coterminal with these angles. |
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D. |
x equals 60°, 300° or any angle coterminal with these angles. |
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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 11.3° |
B. |
about 78.7° |
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C. |
about 11.5° |
D. |
about 78.5° |
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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 11.0 units |
B. |
about 11.7 units |
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C. |
about 11.9 units |
D. |
about 12.3 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 1.8 miles |
D. |
about 1.6 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. |
one |
B. |
none |
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C. |
two |
D. |
three |
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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. |
21.3° |
B. |
14.6° |
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C. |
22.5° |
D. |
31.7° |
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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 6.3 |
B. |
about 8.4 |
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C. |
about 7.5 |
D. |
about 10.0 |
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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 144.0° |
B. |
about 36.0° |
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C. |
about 126.0° |
D. |
about 54.0° |
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Hint |
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